mikiselby77
Answered

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What is the measure of the central angle of the arc in radians, if the arc length is pi/2 and radius is 2?

Sagot :

olumideolawoyin

Answer:

[tex]\frac{\pi}{4} [/tex]

Step-by-step explanation:

360° = 2π radians

Length of arc = central angle / 360° × 2πr

Length of arc = central angle / 2π × 2πr in radians

Length of arc = central angle × r

central angle = Length of arc / r

= (π / 2) ÷ 2

= (π / 2) × 1/2

[tex] = \frac{\pi}{4} [/tex]

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