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
2 answers:
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 = .
Plug the values
40 = .
40 = .
40 = .
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.
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Step-by-step explanation:
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