Question

A dartboard consists of a circle inscribed in a square. The area of the circle is 25π square units. The area of the square is 100 square units.

Megan randomly throws a dart at the square. Assuming the dart lands within the square, what is the probability that the dart lands within the dartboard? Round your answer to the nearest tenth of a percent.

____%

Answer 1

Answer::

A dartboard consists of a circle inscribed in a square.

The area of the circle = 25π square units.

The area of the square = 100 square units.

It is also given that:

Megan randomly throws a dart at the square.

Assuming the dart lands within the square.

We have to find the probability that the dart lands within the dartboard.

⇒
`\text{Probability that the dart lands within the dartboard} = (25 \pi)/(100) * 100`

Use
`\pi = 3.14`

⇒
`\text{Probability that the dart lands within the dartboard} = 25 \pi = 25 * 3.14 = 78.5 \%`

Therefore, the probability that the dart lands within the dartboard to the nearest tenth of a percent is, 78.5 %