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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. meters

The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 2020 meters. One penguin swims half way around the island before hopping out.\newlineHow far did the penguin swim? Give your answer in terms of pi.\newline□\square meters

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Q. The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 2020 meters. One penguin swims half way around the island before hopping out.\newlineHow far did the penguin swim? Give your answer in terms of pi.\newline□\square meters
  1. Find Circumference: First, find the circumference of the island using the formula C=πdC = \pi d, where dd is the diameter.C=π×20C = \pi \times 20 meters
  2. Calculate Half Circumference: Since the penguin swims half way around the island, we take half of the circumference.\newlineDistance swum = 12×C\frac{1}{2} \times C
  3. Calculate Distance Swum: Plug in the value of CC from the previous step.\newlineDistance swum = 12×π×20\frac{1}{2} \times \pi \times 20 meters
  4. Simplify Expression: Simplify the expression.\newlineDistance swum = 10π10\pi meters

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