Question

On a trip to the museum, lance saw a replica of a circular shield used by ancient greek soldiers. if the circumference of the shield is 100.48 inches, its radius is inches and the area of the front of the shield is about square inches.

Answer 1

The radius of shield is 16 inches and the area of front of the shield is
`803.84 inches^2`

Explanation:

Circumference of circle =
`2\pi r`

Circumference of the shield is 100.48 inches

⇒
`2 \pi r = 100.48`

⇒
`2* 3.14 * r = 100.48`

⇒
`6.28* r = 100.48`

⇒
`r = (100.48)/(6.28)`

⇒
`r = 16`

Thus the radius of shield is 16 inches

Area of shield =
`\pi r^2`

=
`3.14 * (16)^2`

=
`803.84 inches^2`

Hence the radius of shield is 16 inches and the area of front of the shield is
`803.84 inches^2`

Answer 2

if the circumference of the shield is 100.48inches, nits radius is 16 inches and the area of the front of the shield is about 803.84 square inches.
proof

circumference = 2x r x Pi implies r =circumference / 2Pi=100.48/2x3.14=16
area = Pi x r²=3.14 x 16²=804.84