If the radius of a circle is 7 cm, what is the area of the circle?

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Question: If the radius of a circle is 7 cm, what is the area of the circle?

Options:

Correct Answer: 154 cm²

Solution:

The area of a circle is given by the formula A = πr². Thus, A = π(7)² = 49π ≈ 154 cm².

If the radius of a circle is 7 cm, what is the area of the circle?

If the radius of a circle is 7 cm, what is the area of the circle?

Step 1: Identify the radius of the circle. In this case, the radius (r) is 7 cm.
Step 2: Recall the formula for the area of a circle, which is A = πr².
Step 3: Substitute the radius into the formula. So, A = π(7)².
Step 4: Calculate (7)², which is 49.
Step 5: Now, replace (7)² in the formula: A = π(49).
Step 6: This means the area A = 49π cm².
Step 7: If you want a numerical approximation, use π ≈ 3.14. So, A ≈ 49 × 3.14.
Step 8: Calculate 49 × 3.14, which is approximately 154 cm².

Area of a Circle – The area of a circle is calculated using the formula A = πr², where r is the radius.