Question

As shown in the figure, the radius of a larger circle is 2 cm. It is touched internally by two smaller circles which also touch each other externally at the center O of larger circle . Find the area of shaded region. (in terms of π)​

Answer 1

Answer:

π cm²

Step-by-step explanation:

Find the area of the larger circle:

Area = πr²

Area = π(2)²

Area = 4π cm²

Find the radius of the smaller circle:

Radius of the larger circle = Diameter of the smaller circle

Radius = 2 ÷ 2 = 1 cm

Find the area of 1 small circle:

Area = πr²

Area = π(1)²

Area = π cm²

Find the area of 2 such small circles:

Area of 1 circle = π cm²

Area of 2 circles = 2π cm²

Find the area of the larger circle that is not covered by the 2 smaller circles:

Area not covered = 4π - 2π = 2π cm²

Find the shaded region:

Shaded Region = 2π ÷ 2 = π cm²

Answer: π cm²

Answer 2

Answer:

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