Question

A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded square region. The radius of the dartboard is 14in, and each side of the shaded region is 5in. Use the value 3.14 for π. Round your answer to the nearest hundredth.

Answer 1

Answer:

The first thing you need to do is, have a square whose area is 11² = 121 square inches. Then we are going to multiply the radius by π which is 3.14 the area of the circle with the radius 4 is equal to 3.14 × 4² = 3.14 × 16 = 50.24, you need to divide the calculated radius times π (3.14) you can get the answer and you need to round your answer to the nearest hundredth probability that the dart will hit within the circle is equal to 50.24 ÷ 121 = 0.4152066116 which is rounded to 0.04152 or 41.52% this assumes the dart will always hit the square at least.