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nalin [4]
3 years ago
11

A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded circula

r region. The radius of the dartboard is 13in, and the radius of the shaded region is 5in. Use the value 3.14 for π. Round your answer to the nearest hundredth.

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

0.15

Step-by-step explanation:

Area = \pir^{2}

Area of the shaded region = \pi 5^{2}

Area = 78.5 in^{2}

Area of the whole dart board = \pi r^{2}

Area = \pi 13^{2}

Area = 530.66in^{2}

Probability = \frac{78.5}{530.66}

= 0.1479 ≈ 0.15

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