The figure shows two circles.The radius of the big circle is 3 times the radius of the small circle.The radius of the big circle is 42 cm. Find the area of the shaded part. Take π = 227
Question
The figure shows two circles.The radius of the big circle is 3 times the radius of the small circle.The radius of the big circle is 42 cm. Find the area of the shaded part. Take π = 227
Solution
The problem seems to be incomplete as there is no figure provided. However, based on the information given, here's how you can solve it:
Step 1: Find the radius of the small circle. Since the radius of the big circle is 3 times the radius of the small circle, you divide the radius of the big circle by 3.
42 cm / 3 = 14 cm
So, the radius of the small circle is 14 cm.
Step 2: Find the area of the big circle. The formula for the area of a circle is πr².
Area of big circle = π * (42 cm)² = 22/7 * 42 * 42 = 12348 cm²
Step 3: Find the area of the small circle using the same formula.
Area of small circle = π * (14 cm)² = 22/7 * 14 * 14 = 616 cm²
Step 4: Subtract the area of the small circle from the area of the big circle to find the area of the shaded part.
Area of shaded part = Area of big circle - Area of small circle = 12348 cm² - 616 cm² = 11732 cm²
So, the area of the shaded part is 11732 cm².
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