50 POINTS - A Builder intends placing 7 equally spaced homes on a semicircular plot. If the circle has a diameter of 400 feet, w

Question

2 years ago

15

hat is the distance between any two adjacent homes

1 answer:

Ray Of Light [21] · Answer 1 · 2022-06-25T18:46:07+03:00

Answer: 89.7 ft

<u>Step-by-step explanation:</u>

Find the arc length (s) of the semi-circle. Then divide that length by 7.

s = r · θ where r is the radius and θ is the angle in radians

s = (400 ÷ 2) · π <em>(radius is diameter divided by 2)</em>

= 200π

= 628.3

The length of the arc is 628.3 ft. Divide that by 7 to find the distance between each home.

628.3 ÷ 7 = 89.7