Question

Area of a sector

Answer 1

The perimeter of the sector is 96.34 m if the radius of the circle is 48 m and the measure of the central angle is 115 degrees.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have given a part of the circle.

As we know:

s = rθ

s is the arc length

r is the radius of the circle

θ is the central angle in radians

The central angle is 115 degrees which is in radians:

θ = 2.00713

s = 48×(2.00713)

s = 96.34 m

The perimeter of the sector = s = 96.34 m

Thus, the perimeter of the sector is 96.34 m if the radius of the circle is 48 m and the measure of the central angle is 115 degrees.

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