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The diameter of a circle is 7/4 times of the base of a triangle, and the height of the triangle is 14 cm. If the area of the triangle is 56 Cm2 , then what is the circumference (in m) of the circle?
0.44 m
2.46 m
0.48 m
1.74 m
- The area of a triangle is calculated using the formula: Area = 1/2 × base × height.
- Given that the area is 56 cm² and height is 14 cm, we can solve for the base:
- 56 = 1/2 × base × 14
- base = 8 cm.
- The diameter of the circle is 7/4 times the base of the triangle:
- Diameter = (7/4) × 8 = 14 cm.
- The circumference of a circle is given by the formula: Circumference = p × diameter.
- Using p ˜ 3.14, circumference = 3.14 × 14 = 43.96 cm.
- To convert cm to meters, divide by 100:
- 43.96 cm ˜ 0.4396 m.
- This rounds to approximately 0.44 m.
- Correct Answer: Option 1 - 0.44 m
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By: santosh ProfileResourcesReport error
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