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12 votes
12 votes
What is the measure of AR in 0 below?

R
0
142⁰
OA. 142°
OB. 38°
A
C. 218°
D. 322°

User Dumpen
by
2.7k points

1 Answer

17 votes
17 votes

Answer:

142°

Explanation:

Given is a circle with center O

A and R are points on the circumference

AOR is given as 142 degrees

AOR angle is nothing but the arc (minor) AR subtends at the center.

Hence the measure of AR = angle the minor arc AR subtends at the center

= 142 degrees

Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians). The central angle is also known as the arc's angular distance. The size of a central angle Θ is 0° < Θ < 360° or 0 < Θ < 2π (radians).

User Zarepheth
by
2.5k points
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