Question

The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. 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 penguin swam half the circumference of the island. Given a diameter of 20 meters, the distance swum is 10π meters.

Step-by-step explanation:

The penguin in the question swims halfway around a circular island before hopping out. To find the distance the penguin swam, we need to calculate the circumference of the island and then take half of that, since the penguin swims only halfway around.

The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.

Given that the diameter of the island is 20 meters, the circumference can be calculated as:

C = π × 20 meters

To find the distance swum by the penguin, which is half the circumference, we divide by two:

Distance swum by the penguin = π × 20 meters / 2

Distance swum by the penguin = 10π meters