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

Yeee the answer is 78.5% :)

Answer 2

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.

⇒ $\text{Probability that the dart lands within the dartboard} = \frac{25 \pi}{100} \times 100$

Use $\pi = 3.14$

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

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