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sertanlavr [38]
3 years ago
12

A sector has an area of 1/2 π and the central angles of 1/9 π radians. What is the area of the circle?

Mathematics
1 answer:
zhenek [66]3 years ago
6 0

Answer:

Area of circle is 9π

Step-by-step explanation:

The area of sector of a circle is given by A=\frac{1}{2}r^2\theta

Plugging the given values in the formula, we get

\frac{1}{2}\pi=\frac{1}{2}r^2\cdot\frac{1}{9}\pi

Cancel out 1/2 and π from both sides, we are left with

1=r^2\cdot\frac{1}{9}

Cross multiplying, we get

r^2=9\\\\r=3

Therefore, area of circle is given by

A=\pi r^2\\\\A=\pi(3)^2\\\\A=9\pi

Area of circle is 9π

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