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What is the area of a circle with a radius of 7 cm? (Use π ≈ 3.14)
What is the area of a circle with a radius of 7 cm? (Use π ≈ 3.14)
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Practice Questions
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Q1
What is the area of a circle with a radius of 7 cm? (Use π ≈ 3.14)
154 cm²
100 cm²
44 cm²
78.5 cm²
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Area = πr² = 3.14 × (7)² = 3.14 × 49 = 153.86 cm², approximately 154 cm².
Questions & Step-by-step Solutions
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Q
Q: What is the area of a circle with a radius of 7 cm? (Use π ≈ 3.14)
Solution:
Area = πr² = 3.14 × (7)² = 3.14 × 49 = 153.86 cm², approximately 154 cm².
Steps: 8
Show Steps
Step 1: Identify the radius of the circle. The radius is given as 7 cm.
Step 2: Recall the formula for the area of a circle, which is Area = πr².
Step 3: Substitute the value of the radius (7 cm) into the formula. This gives us Area = π × (7)².
Step 4: Calculate (7)², which is 7 × 7 = 49.
Step 5: Now substitute this value back into the formula: Area = π × 49.
Step 6: Use the approximation for π, which is 3.14. So, Area = 3.14 × 49.
Step 7: Multiply 3.14 by 49. This gives us 3.14 × 49 = 153.86.
Step 8: Round 153.86 to the nearest whole number, which is approximately 154 cm².
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