Question

Rodrigo planted flowers in a section of a circular garden as shown. Calculate the closest area of this sector of the garden to the nearest whole number.

Answer 1

`A = 118ft^2`

Explanation:

See attachment for complete question.

From the attachment, we have:

`\theta = 80`

`r = 13ft` -- Radius

Required

Determine the area of the sector

Area (A) of a sector is calculated as:

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

Substitute values for r and
`\theta`

`A = (80)/(360) * \pi 13^2`

`A = (80)/(360) * \pi *169`

`A = (80*169)/(360) * \pi`

`A = (13520)/(360) * \pi`

Take
`\pi` as
`(22)/(7)`

`A = (13520)/(360) * (22)/(7)`

`A = (13520 * 22)/(360 * 7)`

`A = (297440)/(2520)`

`A = 118ft^2`-- approximated