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Find the diameter of a circle if the area is 153.86m2. use 3.14 for pi.



User Oktay
by
5.6k points

2 Answers

6 votes

Answer:

diameter = 14 m

Explanation:

Area of a circle formula: A = πr^2

Step 1: Plug in 153.86 for A and use 3.14 for π

A = πr^2

153.86 = (3.14) * r^2

Step 2: Divide both sides by 3.14

153.86 / 3.14 = ((3.14) * r^2) / 3.14

49 = r^2

Step 3: Square root both sides

49 = r^2


√(49) = √(r^2)


√(7^2) = √(r^2)

7 = r

Step 4: Since we found the radius, multiply it by 2 to get the diameter

diameter = radius * 2

diameter = 7 * 2

diameter = 14

Answer: diameter = 14 m

User A Tyshka
by
7.1k points
5 votes

Answer:

The diameter is 14 m

Explanation:

The area of a circle is given by the formula

A = pi r^2

Substituting in what we know

153.86 = 3.14 r^2

Divide each side by 3.14

153.86/3.14 = 3.14/3.14 r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 =r

We want to find the diameter

d =2*r

d =2*7

d=14

The diameter is 14 m

User AnOldSoul
by
6.6k points