Question

What is the area of a sector that has a radius of 25 mm and has an angle measure of 50 degrees ?

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:

The area of a sector is $A=299.98 \:mm^2$.

Step-by-step explanation:

A sector is like a slice of the circle. It consists of a region bounded by two radii and an arc lying between the radii.

The area of a sector is a fraction of the area of the circle.

The graph below gives you the formula for the area of sector.

We know that the radius is $r=25$ and the central angle is $\theta=50 ^o$.

So, the area of the sector is

$A=\frac{55}{360}\pi \left(25\right)^2=\frac{6875\pi }{72}\approx299.98 \:mm^2$