Geometry and TrigonometryEasy–MediumInscribed angle from its intercepted arc
Geometry and Trigonometry practice question
In a circle, an inscribed angle intercepts an arc of measure 100°. What is the measure of the inscribed angle, in degrees?
Answer: 50
An inscribed angle is half the arc it intercepts: 100 ÷ 2 = 50.
Common wrong answers
- If you answered 80
- 80 is 180 − 100, the supplement of the arc.
- If you answered 100
- 100 is the arc (and the central angle), not the inscribed angle.
- If you answered 200
- 200 doubles instead of halving.
More Geometry and Trigonometry questions
- Easy–Medium
A circle has a radius of 6. What is its area? (Use A = πr².) - Easy–Medium
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse? - Easy–Medium
A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
What is the area, in square centimeters, of the trapezoid?
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