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A circular patio has a radius of 4 yards. The patio is expanded so that the radius increases by 2 yards.

1) What is the area of the original patio? (blank)

Square yards

2) What is the area of the new patio? (blank)(

Square yards

3) By how many square yards does the area of the patio increase? (blank)

Square yards

User Hriju
by
4.9k points

1 Answer

2 votes

Answer:

50.29 yards^2

113.14 yards^2

62.85 yards^2

Explanation:

Area of a circle = πr²

π = pi = 22/7

r = radius

original area

(22/7) x 4² = 50.29 yards²

New area

radius = 4 + 2 = 6

(22/7) x 6² = 113.14 yards²

Increase in the area of the patio = 113.14 yards² - 50.29 yards²=62.85

User Chakroun Yesser
by
5.1k points