Problemas
The circumference of a circle is 20pi ft. What is the area,in square feet?Express your answer in terms of pi Answer Attempt 1 out of 2 A=square ft^2
Roztwór
Tamara
maestro · Tutor durante 5 años
4.5
(266 Votos)
Respuesta
The area of the circle is
square feet.
Explicación
## Step 1The circumference of a circle is given by the formula
, where
is the radius of the circle.## Step 2Given that the circumference
, we can set up the equation
to solve for
.## Step 3Solving for
, we get
.## Step 4The area of a circle is given by the formula
.## Step 5Substituting
into the area formula, we get \(A = \pi (10)^2 = 100\pi\).