Question

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° 180°

Answer 1

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.

Answer 2

Answer:

72

Step-by-step explanation: