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erik [133]
3 years ago
15

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

he nearest whole number.
Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0

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<em>-- approximated</em>

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