Question

The measure of central angle MNL is π radians, and the measure of the entire circle is 2π radians.

The ratio of the measure of the central angle to the entire circle measure is .

The area of the entire circle is π units2.

The area of the sector is π units2.

Answer 1

Answer: The ratio of the measure of the central angle to the entire circle measure is 1:2.

Explanation:

The measure of MNL angle  = $\pi \text{ radians}$

The measure of the entire circle is = $2\pi \text{ radians}$

The ratio of the measure of the central angle to the entire circle measure is :

=$=\frac{Angle MNL}{\text{Angle of entire circle}}=\frac{\pi \text{ radians}}{2\pi \text{ radians}}=\frac{1}{2}$

Hence, the ratio of the measure of the central angle to the entire circle measure is 1:2.

Area of circle  $=\pi r^2=\pi (unit)^2$

Area of sector = ratio of angle subtended by the sector to circle $\times$ area of circle

Area of sector =$\frac{1}{2}\times \pi =\frac{1}{2}\pi (unit)^2$

Answer 2

Answer:

1. 1/2

2. 36

3. 18

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