Question

If the circle has a diameter of a team meters in a central angle of 210° what is the area of the sector

Answer 1

`Area = 45.82m^2`

Explanation:

Given

`d = 10m` --- diameter

`\theta = 210^\circ`

Required

Determine the area of the sector

The ares of the sector is calculated as:

`Area = (\theta)/(360) * \pi r^2`

Where

`r = (d)/(2)`

This gives:

`r = (10m)/(2) = 5m`

So, we have:

`Area = (210)/(360) * 3.142 * 5^2`

`Area = (210)/(360) * 78.55`

`Area = (210 * 78.55)/(360)`

`Area = (16495.5)/(360)`

`Area = 45.82m^2`