3 years ago

A circle has an arc of length 20π that is intercepted by a central angle of 180°. What is the radius of the circle?

Mathematics

1 answer:

Bond [772]3 years ago

8 0

Answer:

10π

Step-by-step explanation:

RULE: The angle measure of the central angle is congruent to the measure of the intercepted arc.

RULE: Central Angle = Arc length

Given:

Arc length (20 π) = central angle (180)

we know 180 degrees is a straight line, thus a semi-circle is created. This would be the diameter.

1/2 diameter is the radius. 20π/2 is the radius.

10π

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