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lakkis [162]
3 years ago
11

A sector with a radius of 15 cm has a central angle measure of 8pie/5

Mathematics
1 answer:
Citrus2011 [14]3 years ago
3 0

Answer:

The area of the sector is 180\pi \ cm^2.

Step-by-step explanation:

We have,

Radius of circle is 15 cm

Central angle is \dfrac{8\pi}{5}\ \text{radian}

It is required to find the area of the sector. The formula used to find the area of sector is given by :

A=\dfrac{1}{2}r^2\theta

Plugging all the values in above formula as :

A=\dfrac{1}{2}\times 15^2\times \dfrac{8\pi}{5}\\A=180\pi \ cm^2

So, the area of the sector is 180\pi \ cm^2.

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