Question

The bottom of a circular swimming pool with a diameter of 30 feet is painted blue. How many square feet are blue?

Answer 1

if its diameter is 30, then its radius is half that, or 15.

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=15 \end{cases}\implies A=\pi 15^2\implies A=225\pi \implies A\approx 706.86$

Answer 2

Area of the circle is the area which is occupied by the circle in the two- dimensional plane. The area of the circle is equal to the area of the bottom of the circular swimming pool. Thus the blue paint is total 707.143 square feet.

Given-

The diameter of the circular swimming pool is 30 feet.

To find out the square feet of blue the area of the circle has to be calculated.

What is area of the circle?

Area of the circle is the area which is occupied by the circle in the two- dimensional plane. The area of the circle with diameter $d$ can be calculated as,

$A=\pi\times \dfrac{d^2}{4}$

Put the value of the diameter, we get,

$A=\dfrac{22}{7} \times \dfrac{30^2}{4}$

$A=707.143$

The area of the circle is 707.143 square feet.

As the area of the circle is equal to the area of the bottom of the circular swimming pool. Thus the blue paint is total 707.143 square feet.

Learn more about the area of the circle here;

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