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Circumference of the semicircle is 36 cm and the radius of Semicircle and Breadth of a rectangle is same. If the area of Rectangle is 216cm2 Find the length of the rectangle. [Using π = 3]
42 cm
28 cm
30 cm
25 cm
35 cm
- The circumference of the semicircle is given as 36 cm. Use the formula for the circumference of a semicircle: \( \text{Circumference} = \pi r + 2r \), where \( r \) is the radius.
- Plugging in values, \( 3r + 2r = 36 \) cm. Simplifying gives \( 5r = 36 \), so \( r = 7.2 \) cm.
- The radius of the semicircle is the same as the breadth of the rectangle, which is 7.2 cm.
- The area of the rectangle is given as 216 cm². Use the area formula \( \text{Area} = \text{length} \times \text{breadth} \).
- Plugging in the given values, \( 216 = \text{length} \times 7.2 \). Thus, \(\text{length} = 216 / 7.2 = 30\) cm.
Option 3 - 30 cm
By: Parvesh Mehta ProfileResourcesReport error
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