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

 The area of the complete circle is:
 
 Where,
 r: radius of the circle.
 Substituting values we have:
 
 Then, the measure of the angle of the arc whose area is 5pi is given by:
 
 Where,
 A '/ A: ratio of areas
 Substituting values:
 
 
 the angle measure of an arc bounding to sector area 5pi square meters is:
 theta = 72 degrees

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 °.

This question is impossible to solve using the information you have provided for us.