Question

1 The figure shows a rectangle inscribed in a circle.

Determine the area of the shaded region. Use 3.14
for and round to the nearest tenth.

Answer 1

46.8 cm²

Explanation:

The diagonal of the square has length
`√(6^2+10^2)=2√(34)`. Therefore, the radius of the circle is
`√(34)`, meaning the area is
`\pi(√(34))^2 \approx 34(3.14)=106.76`.

The area of the rectangle is
`(6)(10)=60` cm².

Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.