circle

When the circumference of a circle is increased from 10 pi inches to 15 pi inches, by how many inches is the radius increased? C = 2pir Smaller circle: 2pir = 10pi Divide each side by 2pi: r = 5 Larger circle: 2pir = 15pi Divide each side by 2pi: r = 7.5 Difference = 7.5 - 5 = 2.5 or 2&1/2

When a circle's radius triples, what happens to its area? A = πr^2 When r = 3r, then we have: a = π(3r)^2 A = 9(πr^2) This means Area increases by 9x

What is the formula for the circumference of a circle? Given radius r and diameter d, the circumference C is: C = 2πr or πd

What is the formula for the area of a circle? Given a radius r, we have Area (A) of: A = πr^2

What is the ratio of the area of a circle to the area of a square drawn around that circle? Express your answer in terms of pi. Area of a circle = pir^2 area of a square = (2r)^2 = 4r^2 Ratio = pir^2/4r^2 Ratio = pi/4

Laura found a roll of fencing in her garage. She couldn't decide whether to fence in a square garden or a round garden with the fencing. Laura did some calculations and found that a circular garden would give her 1380 more square feet than a square garden. How many feet of fencing were in the...

If the diameter of a circle is n, what is the circumference? Diameter of a circle = pi(d) Given d = n, we have: Diameter = pi(n)

A dog on a 20-foot long leash is tied to the middle of a fence that is 100 feet long. The dog ruined the grass wherever it could reach. What is the area of the grass that the dog ruined. The leash forms a circle where the dog can get to. A = pi(r)^2 A = 3.1415(20)^2 A = 3.1415 * 400 A = 1256...

Fantasia decided to paint her circular room which had a diameter of 25 feet. She started painting in the center and when she had painted a circle with a 5-foot diameter, she used one quart of paint. How many more quarts of paint must Fantasia buy to finish her room? The area formula for a...

A circle has a center at (6, 2) and passes through (9, 6) The radius (r) is found by using the distance formula to get: r = 5 And the equation of the circle is found by using the center (h, k) and radius r as: (x - h)^2 + (y - k)^2 = r^2 (x - 6)^2 + (y - 2)^2 = 5^2 (x - 6)^2 + (y - 2)^2 = 25

a painter is painting a circular sculpture. The sculpture has a radius of 5 meters. How much paint should she use to paint the sculpture Area of a circle (A) is: A = πr² Substituting r = 5 into this formula, we get: A = π * 5² A = 25π

center (3, -2), radius = 4 To see the general form or standard form, you can check out this link: https://www.mathcelebrity.com/eqcircle.php?h=3&k=-2&r=4&d1=1&d2=1&d3=2&d4=4&calc=1&ceq=&pl=Calculate

If the circumference of a circular rug is 16π feet, then what is the area of the rug in terms of pi C = 2pir, so we have: C = 16π 16π = 2πr Divide each side by 2π: r = 16π/2π r = 8 Now, the area of a circle A is denoted below: A = πr^2 Given r = 8 from above, we have: A = π(8)^2 A = 64π

3/10 of a circle equal how many degrees A circle is 365 degrees. So we multiply 365 * 3/10 in our search engine and get: 219/2 219/2 = 109.5 degrees

(3,3) radius of 4 We have a circle with center (3,3) with a radius of 4. Use our circle equation calculator to get the general form and standard form.

Marco orders a large pizza, with a diameter of 14 inches. It is cut into 8 congruent pieces. what is the area of one piece? A pizza is a circle. If the diameter of the pizza is 14 inches, the radius is 14/2 = 7 inches. Area of a circle is pi(r^2). With r = 7, we have: A =7^2(pi) A = 49pi Area...

A gardener wants to fence a circular garden of diameter 21cm. Find the length of the rope he needs to purchase, if he makes 2round of fence Also find the cost of the rope, if it costs Rs4 per meter (take pie as 22/7) Circumference of a circle = Pi(d). Given Pi = 22/7 for this problem, we have...

A tractor tire has a radius of 24 inches. If the tire rotates one time around, about how many inches of ground will it cover? Use 3.14 for pi. A tractor tire is a circle. We want the circumference, which is the distance around the tire. C = 2pir C = 2(3.1415)24 C ~ 150.8