Question

Area of a sector central 200 of a circleis770cmsq find the length of the corresponding area of sector

Answer 1

The length of the corresponding area of sector is 73 1/3 cm.

Step-by-step explanation:

Given data:

angle of the sector is 200 degree. 

or θ = 200

And, area of the sector = 770 cm²

Area of the sector = πr² x θ°/360°

770 = 22/7 x r² x 200/360°

r² = 1940400/4400

r² = 441

r = √441

r = 21 cm

Now, length of the corresponding arc of this sector

= 200*21*π/180°   = 200 x 21 x 22/7 x 180

= 9240/126   = 220/3 cm

= 73 1/3 cm

Thus the length of the corresponding area of sector is 73 1/3 cm

Also learn  more

The perimeter of a rectangle is 96 ft. Find the dimensions of the rectangle if the ratio of the length to the width is 7 : 5. Which of the following would be the best equation to use to solve this problem?

https://brainly.com/question/7134956