PLZZZ HELP DUE BY 7:00pm
Circle J and Circle K are congruent circles.
M
J K
L
1. Name three radii of Circle J.
2. Name three radii of Circle K.
3. How are the radii of the two circles related? Explain your reasoning.
Show the formula you use and all your calculations. Use 3.14 for π and round to the nearest hundredth, if necessary.
4. Compute the circumference of a circle with a radius length of 12 inches.
5. Compute the diameter of a circle with a circumference of 34 feet.
6. Compute the area of a circle with a radius length of 6.5 centimeters. 7. Compute the area of a circle with a circumference of 195 feet.
8. Compute the radius of a circle with a circumference of 255 inches.
9. Ben wants to enclose his circular flower garden with a decorative fencing. If the diameter of his garden is 18 feet, how much fencing will Ben need to buy if fencing is sold by the linear foot?
10. Joe wants to put a ribbon border along the edge of her round tablecloth. If the diameter of the tablecloth is 42 inches, how many inches of ribbon will Joe need to buy?
11. Lyric wants to cover the top of a circular pond to keep leaves out of the pond. If the diameter of the pond is 12 feet, what will be the area of the top of the cover (the portion of the cover that covers the surface of the pond)?
12. Donnie is making a pizza. The round pizza pan has a 15-inch diameter. What is the area of the pizza crust needed to fill the entire pan?
13. Sergio wants to fence in a circular portion of his backyard for a play space for his dog. Determine the area of the largest portion of the yard he can enclose with 72 feet of fencing.
14. Faith wants to hang a circular mirror in a frame in her front hall. Determine the area of the largest mirror Faith can hang if the frame has a circumference of 40 inches.
15. One medium circle and one small circle touch each other, and each of these circles touches the large circle. Calculate the area of the shaded region.
10 cm
4 cm
16. One small circle is completely inside a larger circle. Both circles share the same center point. Calculate the area of the shaded region.
13 cm
6 cm
17. Roman is selling cheese at the farmers’ market. One wheel of cheese has a diameter of 11 inches.
a. Calculate the area of the wheel of cheese.
b. If the 11-inch wheel of cheese costs $21.35, what is the cost per square inch?
18. Pizza World sells an extra small pizza that has a diameter of 6 inches. a. What is the area of the crust of the extra small pizza?
b. Pizza World is running a special where an extra small pizza costs only $5.99. What is the cost per square inch?
19. A circular silver tray has a diameter of 24 centimeters.
a. What is the area of the top surface of the tray?
b. If the tray cost $120, what is the cost per square centimeter?
20. Washing ton High School is building a new running track. The track is constructed from a rectangle and two semicircles.
51 ft
250 ft
a. Determine the distance the runners run around the edge of the track. Round to the nearest whole number.
b. The inside of the track will all be grass. Determine the area of grass needed to fi ll in the track. Round to the nearest whole number.
c. A mile is 5280 feet. How many laps around the track does it take to run a mile?
