In a circle of radius 10 cm, a sector has an area of 40 sq. Cm. What is the degree measure of the arc of the sector? 72° 144° 18

Question

3 years ago

5

0°

2 answers:

rewona [7] · Answer 1 · 2022-08-11T19:57:54+03:00

Answer:

45 .85° degree measure of the arc of the sector.

Step-by-step explanation:

Given : In a circle of radius 10 cm, a sector has an area of 40 sq. Cm.

To find : What is the degree measure of the arc of the sector

Solution : We have given that

Radius = 10 cm.

Area of sector = 40 sq. Cm.

Area of sector = $\frac{theta}{360} * \pi (radius)^{2}$ .

Plug the values

40 = $\frac{theta}{360} * 3.14 (10)^{2}$ .

40 = $\frac{theta}{360} * 3.14 (100)$ .

40 = $\frac{theta}{360} * 314$ .

On multiplying by 360 both sides

40 * 360 = theta * 314

14400 = Theta * 314 .

On dividing both side by 314

Theta = 45 .85°

Therefore, 45 .85° degree measure of the arc of the sector.

melisa1 [442] · Answer 2 · 2022-08-11T17:28:15+03:00

7 0

Answer:

72

Step-by-step explanation: