Review 11.3-11.5 Name ______
I can use the ratio of perimeters, and the ratio of areas, to find a perimeter or area using similar figures.
Complete the table of ratios for similar polygons.
Ratio of corresponding side Ratio of perimeters Ratio of areas lengths 1. 5:8 2. 169:36
Corresponding lengths in similar figures are given. Find the ratios (shaded to unshaded) of the perimeters and areas. Find the unknown area. 3. 4.
The ratio of the areas of two similar figures is given. Write the ratio of the lengths of corresponding sides. 5. Ratio of areas = 16:81 6. Ratio of areas = 144:49
Use the given area to find XY. 7. EFGHJK ~ UVWXYZ
8. Kites RSTU and VWXY are similar. The area of RSTU is 162 square feet. The diagonals of VWXY are 32 feet long and 18 feet long. Find the area of VWXY. Then use the ratio of the areas to find the lengths of the diagonals of RSTU.
9. Rectangles ABCD and EFGH are similar. The width of ABCD is 18 centimeters and the perimeter is 120 centimeters. The length of EFGH is 91 centimeters. Find the ratio of the side lengths of ABCD to the side lengths of EFGH. 10. Rug Costs You are comparing the two rugs shown below. You want to be sure that the large rug is priced fairly. The price of the small rug is $84. The price of the large rug is $210. a. What are the areas of the two rugs? What is the ratio of the area of the small rug to the area of the large rug? b. Compare the rug costs. Do you think the large rug is a good buy? Explain.
I can find both the circumference of a circle, and the length of any arc on that circle.
Use the diagram to find the indicated measure. 11. Find the circumference. 12. Find the radius.
C = 65.98 cm Find the indicated measure. 13. The exact diameter of a circle 14. The exact circumference of a circle with circumference 39 centimeters with radius 27 feet
15. Find the length of AB .
In D shown below, EDF FDG. Find the indicated measure. 16. mEFG 17. Length of EFG 18. m EHF Find the indicated measure. 19. m AB 20. Radius of J
21. Find the perimeter of the region.
22. Bicycles The chain of a bicycle travels along the front and rear sprockets, as shown. The circumference of each sprocket is given. a. About how long is the chain? 1 b. On a chain, the teeth are spaced in inch intervals. 2 About how many teeth are there on this chain?
I can find both area of a circle, and of a sector of a circle.
Find the exact area of the circle. Then find the area to the nearest hundredth. 23. 24.
Find the indicated measure. 25. The area of a circle is 290 square meters. 26. The area of a circle is 528 square feet. Find the radius. Find the diameter.
27. Find the areas of the sectors formed by ACB. Use the diagram to find the indicated measure. 28. Find the area of H. 29. Find the diameter of H.
The area of R is 295.52 square inches. The area of sector PRQ is 55 square inches. Find the indicated measure. 30. Circumference of R
31. Length of PQ
32. Perimeter of unshaded region
Find the area of the shaded region. 33. 34. 35.
36. Landscaping The diagram at the right shows the area of a lawn covered by a water sprinkler.
a. What is the area of the lawn that is covered by the sprinkler? b. The water pressure is weakened so that the radius is 10 feet. What is the area of lawn that will be covered?