the area of a circle is 25 in2. What is the radius, including the units? Area of a circle is ¡Çr2.
A = r ^ 2 * pi = 25 in ^ 2
r ^ 2 * pi = 25 Divide both sides by pi
r ^ 2 = 25 / pi Take the square root of both sides
r = + OR - sqrt ( 25 ) / sqrt ( pi )
r = + OR - 5 / sqrt ( pi )
Radius can't be negative so :
r = 5 / sqrt ( pi )
r = 5 / sqrt ( 3.1416 )
r = 5 / 1.772456
r = 2.82094 in
thank you(:
Given that the area of the circle is 25 in² and using the formula A = πr², we can solve for the radius.
Step 1: Rearrange the formula A = πr² to solve for the radius, r.
A = πr²
r² = A/π
Step 2: Substitute the given area into the equation.
r² = 25 in² / π
Step 3: Divide the area by π to find the square of the radius.
r² = 7.9577 in²
Step 4: Take the square root of both sides to find the radius.
r = √(7.9577 in²)
Step 5: Calculate the square root to find the radius.
r ≈ 2.819 in
Therefore, the radius of the circle is approximately 2.819 inches.
To find the radius of a circle given its area, you can rearrange the formula for the area of a circle and solve for the radius.
The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.
Given that the area of the circle is 25 in^2, we can substitute A with 25 in^2 in the formula:
25 in^2 = πr^2
To solve for r, we need to isolate it. Divide both sides of the equation by π:
25 in^2 / π = r^2
Now, take the square root of both sides of the equation to find r:
√(25 in^2 / π) = r
Calculating this equation gives us the value of r.