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

Answer:

$A = 118ft^2$

Step-by-step 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:

$A = \frac{\theta}{360} * \pi r^2$

Substitute values for r and $\theta$

$A = \frac{80}{360} * \pi 13^2$

$A = \frac{80}{360} * \pi *169$

$A = \frac{80*169}{360} * \pi$

$A = \frac{13520}{360} * \pi$

Take $\pi$ as $\frac{22}{7}$

$A = \frac{13520}{360} * \frac{22}{7}$

$A = \frac{13520 * 22}{360 * 7}$

$A = \frac{297440}{2520}$

$A = 118ft^2$-- approximated