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.

Question

asked Oct 21, 2021 117k views

1 Answer

Hiroko · Answer 1 · 2021-10-24T22:53:27+0000

Answer:

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