The diameter of a circle is 10m. what is the angle measure of an arc bounding a sector area 5pi square meters?

Angle measure of an arc is  72 °.

Step-by-step explanation:

Given : The diameter of a circle is 10m and sector area 5pi square meters.

To find :  What is the angle measure of an arc .

Solution : We have given that Diameter = 10 cm .

Radius =   =  5 cm.

Area of sector =  .

Plugging the values of r = 5cm  , Area of sector = 5 pi.

5 pi =  .

5 pi =  .

On dividing by 25 pi

=  .

=  .

On multiplying both sides by 360 and swtiching sides.

Theta = .

Theta = 72 °

Therefore, angle measure of an arc is  72 °.

side side side

side angle angle

angle side angle

side angle side

step-by-step explanation:

step-by-step explanation:

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