Web Analytics
Niah01
Answered

What is the area of a sector with a central angle of 10π7 radians and a radius of 18.4 m? Use 3.14 for π and round your final answer to the nearest hundredth.

Verified Answer :

Answer:

759.34

Step-by-step explanation:

1)  due to the radian rules, pi is 180

2) add 180 to the equation: 10x180/7 = 257.143

3) pi x radius squared: 18.4 squared= 338.56 x pi = 1063.0784

4) 257.143 /360 = 0.714286 x 1063.0784= 759.34

5) 759.34

boffeemadrid

The area of the sector is required.

The area of the sector of the circle is \(759.34\ \text{m}^2\)

Area of sector

\(\theta\) = Central angle = \(\dfrac{10\pi}{7}\ \text{rad}\)

r = Radius = 18.4 m

Area of a sector of a circle is given by

\(A=\dfrac{\theta}{2}r^2\\\Rightarrow A=\dfrac{\dfrac{10\times 3.14}{7}}{2}\times 18.4^2\\\Rightarrow A=759.34\ \text{m}^2\)

Learn more about area of sector:

https://brainly.com/question/22972014

Related Questions