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A dartboard consists of two concentric circles. The probability of hitting the inner circle is 64%. If the outer circle has a diameter of 20 inches, what is the radius of the in…
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A dartboard consists of two concentric circles. The probability of hitting the inner circle is 64%. If the outer circle has a diameter of 20 inches, what is the radius of the in…
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May 12, 2017
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A dartboard consists of two concentric circles. The probability of hitting the inner circle is
64%. If the outer circle has a diameter of 20 inches, what is the radius of the inner circle?
2 inches
4 inches
8 inches
16 inch
Mathematics
high-school
Dansch
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Dansch
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Given:
Diameter of outer circle = 20 inches.
We need to find the Area of the outer circle to get the radius of the inner circle.
Area = πr²
Outer circle Area = 3.14 * (10in)² = 314 in²
314 in² * 64% probability = 200.96 in² Area of the inner circle.
200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r
radius of inner circle is 8 inches.
Robbpriestley
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May 17, 2017
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Robbpriestley
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