56.8k views
15 votes
Question 4 (1 point)

The organizers of a concert are preparing for the arrival of 50,000 people in a field. Each person is alloted 5 square ft of space, so the

organizers rope off a circular area big enough to account for 5 square feet per person. Find the radius of this region, rounding to the nearest

foot.

User DainDwarf
by
4.2k points

1 Answer

7 votes

Answer:

Radius of park r = 282.04 ft (Approx)

Explanation:

Given:

Number of people = 50,000

Each person needs area = 5 ft²

Park's is in shape of circle

Find:

Radius of park r

Computation:

Total area required = 50,000 x 5

Total area required = 250,000 ft²

Area of circular park = Total area required

πr² = 250,000

(22/7)r² = 250,000

r² = 79545.4545

r = 282.04 ft

Radius of park r = 282.04 ft (Approx)

User DaShaun
by
4.6k points