Question

What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal rounded to the nearest hundredth.

Answer 1

Question:

What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.

Answer:

See Explanation

Explanation:

The question is incomplete as the values of radius and central angle are not given.

However, I'll answer the question using the attached figure.

From the attached figure, the radius is 3 unit and the central angle is 120 degrees

The area of a sector is calculated as thus;

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

Where
`\alpha` represents the central angle and r represents the radius

By substituting
`\alpha = 120` and r = 3

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

`Area = (120)/(360) * \pi * 3^2`

`Area = (1)/(3) * \pi * 9`

`Area = \pi * 3`

`Area = 3\pi` square units

Solving further to leave answer as a decimal; we have to substitute 3.14 for
`\pi`

So,
`Area = 3\pi` becomes

`Area = 3 * 3.14`

`Area = 9.42` square units

Hence, the area of the sector in the attached figure is
`3\pi` or 9.42 square units