Micah is buying gravel for a rock garden that will be edged by a circular metal border. She will use 110 feet of metal edging for the border. What is the area of the garden? Use 3.14 for Pi The equation C = 2 r is used to determine the circumference of a circle with radius r. Describe how you can substitute and simplify this equation to help solve the problem.

9,498.5 ft²

Step-by-step explanation:

110 ft = circumference (C)

C=2r

110=2r

110/2=2r/2

55=r

Area of a circle (A) = πr²

Use 3.14 for π

A=3.14(55)²

A=3.14(3025)

A=9,498.5

The area of the garden is 9,498.5 ft²

-6 is the correct option from the above given options

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.