Question

QUICK

Find the area of the shaded region. Use 3.14 for pi.

Answer 1

The shaded region is
`353.25m^2`.

Explanation:

The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply
`A=\pi r^2`.

15m is the radius of the large circle, and also the diameter of the smaller circles.

The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.

As such:

`A=\pi(15)^(2)-2(\pi((15)/(2) )^(2))\\\\A=(3.14)(15)^(2)-2(3.14)((15)/(2) )^(2)\\A=706.5-353.25\\A=353.25`

Answer 2

• 353.25 m²

Explanation:

Shaded region is the difference in the area of the bigger circle and two smaller circles.

• Radius of bigger circle = 15 m
• Radius of smaller circles = 15/2 = 7.5 m

The shaded area:

• A = π(15²) - 2π(7.5²) = π(225 - 112.5) = 3.14(112.5) = 353.25 m²