Question

The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 meters. One penguin swims half way around the island before hopping out. How far did the penguin swim? Give your answer in terms of pi.

Answer 1

The circumference of the circle is 20pi meters, and half of that is 10pi, so the penguin swam for 10pi meters

Answer 2

The distance through which penguin swim = 10π meters

Explanation:

The island is given to be in a shape of circle and the distance around any circle is known as circumference.

The diameter of the island = 20 meters

So, to find the distance traveled by penguin we need to find the circumference or the circular island.

⇒ Circumference = π·diameter

⇒ Circumference = π × 20

= 20π meters

Now, it is given that the penguin only travels the half of the island So, the distance traveled by penguin is half the circumference of the island.

`\text{Distance traveled by the penguin = }(1)/(2)* 20\pi=10\pi`

Hence, The distance through which penguin swim = 10π meters