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Figure for IPMAT Rohtak 2019 QA question 9 (Geometry) What is the ratio of the area of Circle M to the area of Circle K?

Solution

✅ Correct Option: 2

Diamter of Circle M =15=15 feet, so Radius =152=7.5=\frac{15}{2}=7.5 feet

Area =π(7.5)2=56.25π=\pi(7.5)^2=56.25\pi square feet

Diameter of Circle K =15+15=30=15+15=30 feet, so Radius =302=15=\frac{30}{2}=15 feet

Area =π(15)2=225=\pi(15)^2=225 square feet

Ratio of Area of Circle M to Area of Circle K =56.25225=1:4=\frac{56.25}{225}=1:4

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