Which of the following could be used to calculate the area of the sector in the circle shown above?

Asked by maham237 @ 19/12/2020 in Mathematics viewed by 345 People

Circle A is shown with a central angle marked 40 degrees and the radius marked 15 inches.

Answered by maham237 @ 19/12/2020

Alright, lets get started :

The area of sector is = 1/2 θ r^2 where θ is in radians

So lets first change our given angle θ ie 40 degree into radian.

For changing degree to radian, we multiply 40 * Pi/180 = 0.698 radians

Now lets plug the value in formula

Area = 1/2 θ r^2

Area = 1/2 * 0.698 * 15^2

Area = 78.54 square inches : Answer

Hope that will help :)

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