An arc of length 10 meters is formed by a central angle a on a circle of radius 4. the measure of a in degrees (to two decimal places) is a. 143.24 b. 2.50 c. 216.76 d. 36.76

A) 143.24

Step-by-step explanation:

Here we have to use arc length of a circle formula.

Arc length =

From this formula, we can drive central angle.

Central angle = (Arc length *360)/2πr

Given: Arc length = 10; r =4 and π = 3.14159

Plug in the given values in the above formula, we get

Central angle =

= 3600/25.13

Central angle = 143.24

Therefore, answer A) 143.24

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