A pig’s face is represented by a big circle. Its snout is represented by a small circle that passes through the centre/center of the big circle and is tangent to it. The perimeter of the pig’s snout is .
What is the area of the pig’s face?
Solution
Let be the radius of the small circle. Then, the radius of the big circle is .
As the perimeter of the small circle is , we get:
Then, the radius of the big circle is 6.
So, the area of the pig’s face is
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