The diagram below shows circle 0 with radii OA and OB. The length of a radius is 6
1 answer:
Answer:
124°
Step-by-step explanation:
We are to solve for the central angle.
In the question,
We are given
The length of the radius or radius = 6 inches
The length of the arc or the arc length (AB) = 13 inches
The formula for the Arc length of a circle = 2πr × (central angle in degree ÷ 360)
From the above formula, we can derive our formula for the measure of the central angle.
The formula for the measure of the central angle AOB =( Arc length × 360 ) ÷ 2πr
Angle AOB = (13 inches × 360) ÷ 2 × π × 6 inches
Angle AOB = 4680 ÷ 37.699111843
Angle AOB = 124.14083392°
Approximately Angle AOB to the nearest degree = 124°
Therefore, the measure of angle AOB to the nearest degree = 124°
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