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Find the area of a circle whose diameter...

Find the area of a circle whose diameter is
Q(i) 28 cm.
(ii)1.4 m. 

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The correct Answer is:
To find the area of a circle given its diameter, we can follow these steps: ### Step-by-Step Solution: **Step 1: Calculate the radius from the diameter.** For (i) Diameter = 28 cm: - Radius (r) = Diameter / 2 = 28 cm / 2 = 14 cm For (ii) Diameter = 1.4 m: - Convert 1.4 m to cm (since 1 m = 100 cm): Diameter = 1.4 m = 1.4 * 100 cm = 140 cm - Radius (r) = Diameter / 2 = 140 cm / 2 = 70 cm **Step 2: Use the formula for the area of a circle.** The formula for the area (A) of a circle is: \[ A = \pi r^2 \] For (i): - Area = π * (14 cm)² - Using π ≈ 22/7: Area = (22/7) * (14 * 14) - Calculate 14 * 14 = 196 - Area = (22/7) * 196 - Area = 22 * 28 = 616 cm² For (ii): - Area = π * (70 cm)² - Area = (22/7) * (70 * 70) - Calculate 70 * 70 = 4900 - Area = (22/7) * 4900 - Area = 22 * 700 = 15400 cm² ### Final Answers: (i) The area of the circle with a diameter of 28 cm is **616 cm²**. (ii) The area of the circle with a diameter of 1.4 m (or 140 cm) is **15400 cm²**. ---
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