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Circle Area and Circumference

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Circle Area and Circumference

Circle with radius and circumference illustrated

📐 Do Now: Circle Word Problems

Directions: Solve each problem. Show your work and round to the nearest tenth when necessary. Use π = 3.14

1. A circular pizza has a radius of 8 inches. What is the area of the pizza?

Answer: _________________ square inches

2. Sarah wants to put a fence around her circular garden. If the garden has a diameter of 12 feet, how much fencing will she need?

Answer: _________________ feet

3. A circular swimming pool has a circumference of 62.8 meters. What is the area of the pool?

Answer: _________________ square meters

📝 Formulas Reference

Area of a Circle: A = πr²

Circumference of a Circle: C = πd or C = 2πr

Remember: radius = diameter ÷ 2, diameter = radius × 2

Circle Area and Circumference - Answer Key

Circle with radius and circumference illustrated

🔑 Answer Key

1. A circular pizza has a radius of 8 inches. What is the area of the pizza?

Solution:

A = πr²

A = 3.14 × 8²

A = 3.14 × 64

A = 200.96 square inches

Answer: 201.0 square inches

2. Sarah wants to put a fence around her circular garden. If the garden has a diameter of 12 feet, how much fencing will she need?

Solution:

C = πd

C = 3.14 × 12

C = 37.68 feet

Answer: 37.7 feet

3. A circular swimming pool has a circumference of 62.8 meters. What is the area of the pool?

Solution:

First, find the radius using C = 2πr

62.8 = 2 × 3.14 × r

62.8 = 6.28r

r = 62.8 ÷ 6.28 = 10 meters

Then find the area: A = πr²

A = 3.14 × 10²

A = 3.14 × 100 = 314 square meters

Answer: 314.0 square meters

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