Question

What is the area of a sector with a central angle of π3 radians and a radius of 12.4 m? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.

Answer 1

The answer to this is 80.47. I just took the quiz.

Answer 2

Answer:
`80.47\ m^2`

Explanation:

The area of a sector is given by :-

`\text{Area of sector}=(\theta)/(2)*( r^2), \text{where }\theta\text{ is measure of central angle in radians.}`

Given :Central angle =
`\theta=(\pi)/(3)`

radius = 12.4 m

Then,

`\text{Area of sector}=((\pi)/(3))/(2)*( (12.4)^2)\\\\\Rightarrow\ \text{Area of sector}=(\pi)/(6)*153.76\\\\\Rightarrow\ \text{Area of sector}=(3.14)/(6)*153.76\\\\\Rightarrow\ \text{Area of sector}=80.4677333333\approx80.47\ m^2`