Question

Brad is installing a hot tub in his 30 ft by 20 ft back yard. The hot tub has a radius of 5 feet. If he randomly shoots

an arrow into his back yard, what is the probability that the arrow will land in the hot tub?

Answer 1

13% chance

Explanation:

Area of backyard = length * width

A = 30 ft * 20 ft

A = 600
`ft^(2)`

Area of bathtub = π
`r^(2)`

A = π *
`5^(2)`

A = 78.54
`ft^(2)`

Probability of arrow landing in tub can be found by dividing Area of the bathtub by the area of the backyard, and then multiplying by 100 for a percentage

Prob. = 78.54/600

Prob. = 0.13

Prob. = 0.13 * 100

Prob. = 13%