What is the area of a sector with radius 10\" and measure of arc equal to 45°?

Area of sector of circle = 39.27 square inches.

Step-by-step explanation:

Given that,

Radius of sector = 10 inches.

Measure of arc = 45°

We have a formula to find the area of sector of circle:

Area =

where,

r is radius

α is angle in degree

Area =

Area = 100*0.125π

Area = 12.5π

or Area = 39.269 ≈ 39.27 sq in

That's the final answer.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.