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Answer:
49π sq. units
Step-by-step explanation:
Find the diagram attached
We can find the area of the given circle
Given
diameter of the circle d = 14
Area of the circle = πd²/4
Substitute the given diameter
Area of the circle = π(14)²/4
Area of the circle = 196π/4
Area of the circle = 49π sq. units
Hence the exact answer in terms of π is 49π sq. units
From the given description it seems that the small shaded circle lies within the larger circle as shown in image below:
The probability that a point choosen at random lies within the shaded area = Area of shaded region / Total area of the bigger cricle
So,
Probability = 78.5/314 = 0.25
Thus there is 0.25 or 25% probability that the point chosen at random will lie inside the shaded region.
The probability that a point choosen at random lies within the shaded area = Area of shaded region / Total area of the bigger cricle
So,
Probability = 78.5/314 = 0.25
Thus there is 0.25 or 25% probability that the point chosen at random will lie inside the shaded region.