Question

Find the area of the sector of the circle.

Answer 1

10×10×22÷7÷4= 78.5714285714

Answer 2

The area of a sector with a 90-degree central angle and a radius of 10 feet is
`\(25 \pi\)` square feet. (option A)

The formula to find the area
`(\(A\))` of a sector of a circle is given by:

`\[ A = \frac{\text{angle}}{360^\circ} * \pi r^2 \]`

where:

-
`\(\text{angle}\)` is the central angle of the sector,

-
`\(r\)` is the radius of the circle.

In this case, you have a sector with a central angle of 90 degrees and a radius of 10 feet. Plug these values into the formula:

`\[ A = (90^\circ)/(360^\circ) * \pi * (10 \, \text{ft})^2 \]`

Simplify:

`\[ A = (1)/(4) * \pi * 100 \]\[ A = 25 \pi \text{ft}^2 \]`

Therefore, the area of the sector is
`\(25 \pi\)`
`\text{ft}^2\)`. (option A)