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A circle has a radius of 7 cm. What is the area of the circle?
A circle has a radius of 7 cm. What is the area of the circle?
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Practice Questions
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Q1
A circle has a radius of 7 cm. What is the area of the circle?
154 cm²
144 cm²
160 cm²
150 cm²
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Area of a circle = πr². Using π ≈ 3.14, Area = 3.14 × (7)² = 3.14 × 49 = 153.86 cm², which rounds to 154 cm².
Questions & Step-by-step Solutions
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Q
Q: A circle has a radius of 7 cm. What is the area of the circle?
Solution:
Area of a circle = πr². Using π ≈ 3.14, Area = 3.14 × (7)² = 3.14 × 49 = 153.86 cm², which rounds to 154 cm².
Steps: 8
Show Steps
Step 1: Identify the formula for the area of a circle, which is Area = πr².
Step 2: Note the radius of the circle, which is given as 7 cm.
Step 3: Substitute the radius into the formula: Area = π × (7)².
Step 4: Calculate (7)², which is 49.
Step 5: Now substitute this value back into the formula: Area = π × 49.
Step 6: Use the approximation for π, which is about 3.14. So, Area = 3.14 × 49.
Step 7: Multiply 3.14 by 49 to get the area: 3.14 × 49 = 153.86 cm².
Step 8: Round 153.86 to the nearest whole number, which is 154 cm².
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