Question

A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular region. The radius of the dartboard is 13in, and the radius of the shaded region is 5in. Use the value 3.14 for π. Round your answer to the nearest hundredth.

Answer 1

0.15

Explanation:

Area =
`\pi`
`r^(2)`

Area of the shaded region =
`\pi 5^(2)`

Area = 78.5
`in^(2)`

Area of the whole dart board =
`\pi r^(2)`

Area =
`\pi 13^(2)`

Area = 530.66
`in^(2)`

Probability =
`(78.5)/(530.66)`

= 0.1479 ≈ 0.15