Question

A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular region. The radius of the dartboard is 10in , and the radius of the shaded region is 4in .

Answer 1

The probability that the dart lands in the shaded circular region is 0.16.

Step-by-step explanation:

To find the probability that the dart lands in the shaded circular region, we need to compare the areas of the shaded region and the entire dartboard. The formula to calculate the area of a circle is A = πr^2, where r is the radius.

The area of the entire dartboard is A = π(10^2) = 100π square inches.

The area of the shaded region is A = π(4^2) = 16π square inches.

To find the probability, we divide the area of the shaded region by the area of the entire dartboard:

Probability = (Area of shaded region) / (Area of entire dartboard) = (16π) / (100π) = 0.16

Answer 2

The probability of it landing in the shaded area is 4/10, or 2/5 simplified, or 40%. Hope this helps! <3