Inscribed angles (video) | Circles | Khan Academy (2024)

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  • hasitak11170

    6 years agoPosted 6 years ago. Direct link to hasitak11170's post “At 0:46, Sal says that "w...”

    At

    Inscribed angles (video) | Circles | Khan Academy (2) 0:46

    , Sal says that "we know from the inscribed angle theorem ...."
    What exactly is the inscribed angle theorem? Is there another video somewhere that I missed, because I am doing this mission from the beginning? If not, is there a link somewhere that explains this concept?

    (42 votes)

    • Glorfindel

      6 years agoPosted 6 years ago. Direct link to Glorfindel's post “The inscribed angle theor...”

      Inscribed angles (video) | Circles | Khan Academy (5)

      The inscribed angle theorem states that the inscribed angle has one half the degree of the central angle that shares the same arc with the inscribed angle. The theorem is explained later in the video.

      (14 votes)

  • josh

    8 years agoPosted 8 years ago. Direct link to josh's post “Can someone please explai...”

    Can someone please explain? I think I need some help on this.

    (6 votes)

    • Rohan

      8 years agoPosted 8 years ago. Direct link to Rohan's post “Hey man this theorem is a...”

      Hey man this theorem is also called the double angle theorem. It states that 'the angle subtended by an arc at the center is double of the angle subtended by it at the center'. To put is simply the angle ADC(from the video) is half(1/2) of angle ABC. Hope it make your doubt clear!

      (6 votes)

  • Kyla

    5 years agoPosted 5 years ago. Direct link to Kyla's post “im confused is there a di...”

    im confused is there a different way

    (4 votes)

    • Elder Fauth

      5 years agoPosted 5 years ago. Direct link to Elder Fauth's post “If you are trying to find...”

      If you are trying to find the blue angle, double the orange angle. If you are trying to find the orange angle, halve the blue angle.

      Hope that helps!

      (9 votes)

  • kaitlyn gormley

    8 years agoPosted 8 years ago. Direct link to kaitlyn gormley's post “i dont understand any of ...”

    i dont understand any of this circle geometry stuff?

    (4 votes)

    • Anwesha Mishra

      7 years agoPosted 7 years ago. Direct link to Anwesha Mishra's post “hey!! go back and start ...”

      hey!!
      go back and start from the first video and search on the net for more videos
      if u practice more then you will be able to master it

      (4 votes)

  • lived4adream

    3 years agoPosted 3 years ago. Direct link to lived4adream's post “Don't we actually calcula...”

    Don't we actually calculate the angle using Θ=arc length/radius? As the radius(distance) is doubled (=diameter in that case), initial Θ is multiplied by 1/2.

    (3 votes)

    • HZWang

      3 years agoPosted 3 years ago. Direct link to HZWang's post “Hi lived4adream, the answ...”

      Hi lived4adream, the answer is no, we don't. The ratio you are talking about is the radian measurement(arc length/radius). Radians are not used for inscribed angles; their purpose is to resemble and serve as a unit of measurement for the central angle derived from the ratio of the arc length of a central angle and the radius of the circle. Besides, in this case, AD and CD are not diameters of circle B. The basis of the inscribed angle theorem is a bit more complicated and different from what you are thinking of.
      Overall, great question!
      Hope you found this helpful and feel free to ask if you have any more questions!
      ~Hannah

      (4 votes)

  • PI Technology Π

    5 years agoPosted 5 years ago. Direct link to PI Technology Π's post “What is the definition of...”

    What is the definition of inscribed angle ?

    (3 votes)

    • 𝕐𝕒𝕤𝕙𝕒𝕤 𝕊

      8 months agoPosted 8 months ago. Direct link to 𝕐𝕒𝕤𝕙𝕒𝕤 𝕊's post “An inscribed angle is the...”

      An inscribed angle is the angle formed in the interior of a circle when two chords intersect the same arc.

      (1 vote)

  • noormohamed1616

    5 years agoPosted 5 years ago. Direct link to noormohamed1616's post “when he says <ABC he take...”

    when he says <ABC he takes it the way show in the video. my question is, why should we not take the other angle i.e., the greater angles more than 180 one?

    (2 votes)

    • Khaled Fayed Ghaleb

      5 years agoPosted 5 years ago. Direct link to Khaled Fayed Ghaleb's post “If you refer to 0:15; you...”

      If you refer to

      Inscribed angles (video) | Circles | Khan Academy (24) 0:15

      ; you could understand by other way that it is the angle of intersection between the line AB and line BC at the vertex B.

      and by common thinking and stated in this course before we measure the less angle (angle is corner in latin) unless the problem define the opposite

      please refer to https://www.khanacademy.org/math/basic-geo/basic-geo-angle/modal/v/angle-basics

      (3 votes)

  • joshadrian.valdez

    3 years agoPosted 3 years ago. Direct link to joshadrian.valdez's post “How would you know If it'...”

    How would you know If it's an inscribed Angles in the first place?

    (2 votes)

    • Ash_001

      3 years agoPosted 3 years ago. Direct link to Ash_001's post “An inscribed angle is any...”

      An inscribed angle is anywhere on the circle where 2 secant segments intersect

      (2 votes)

  • Xuan Dao

    7 years agoPosted 7 years ago. Direct link to Xuan Dao's post “ADC is half of ABC, it's ...”

    ADC is half of ABC, it's a formula? Do u have anyway to prove it? Thank you

    (1 vote)

    • joshua

      10 months agoPosted 10 months ago. Direct link to joshua's post “Proof is provided later i...”

      Proof is provided later in this Lesson.
      https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-inscribed-angles/v/inscribed-and-central-angles

      (2 votes)

  • Caleb Allen

    6 months agoPosted 6 months ago. Direct link to Caleb Allen's post “this has nothing to do wi...”

    this has nothing to do with the questions in the exercise?

    (2 votes)

Inscribed angles (video) | Circles | Khan Academy (2024)

FAQs

What is the rule for inscribed angles? ›

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Inscribed angles that intercept the same arc are congruent. This is called the Congruent Inscribed Angles Theorem and is shown below.

What is the formula for inscribed angle? ›

Inscribed Angle Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc. That is, m ∠ A B C = 1 2 m ∠ A O C . This leads to the corollary that in a circle any two inscribed angles with the same intercepted arcs are congruent.

How to tell if an angle is inscribed? ›

An inscribed angle is the angle formed in the interior of a circle when two chords intersect the same arc.

What is the 4 theorem of inscribed angle? ›

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides.

How to find missing inscribed angles? ›

Step 1: Determine the arc that corresponds to the inscribed angle. Step 2: Use your knowledge of circles and arc measures to determine the missing measure for the intercepted arc. Step 3: Determine the measure of the inscribed angle using the formula measure of angle = half of the measure of its intercepted arc.

How will you know that an inscribed angle is a right angle? ›

Corollary (Inscribed Angles Conjecture III ): Any angle inscribed in a semi-circle is a right angle. Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees. In other words, the angle is a right angle.

How to find arc length without radius? ›

Without the radius, you won't be able to calculate the arc length directly. However, if you have either the central angle or the sector area, you can use the following formulas: Using the Central Angle (θ): Arc Length =(θ360∘)×2πr. Using the Sector Area (A): Arc Length =√A×360∘π.

Do inscribed angles add up to 180? ›

The measure of an inscribed angle is always half the measure of the intercepted arc. Since the measure of an intercepted arc cannot be greater than 180°, the measure of the inscribed angle is always less than or equal to 90°.

How do you solve an inscribed circle? ›

Step 1: We draw angle bisectors for 2 angles and mark their intersection. Step 2: Next, we drop a perpendicular line from the incenter of the circle to one edge of the triangle. Step 3: Finally, we construct a circle where the perpendicular line from Step 2 is the radius.

What are the rules for inscribed shapes? ›

Since the inscribed angle theorem tells us that any inscribed angle will be exactly half the measure of the central angle that subtends its arc, it follows that all inscribed angles sharing that arc will be half the measure of the same central angle. Therefore, the inscribed angles must all be congruent.

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