Name: Date: 1. The sides of the outer square are about 14 inches. The sides of the inner square about 10 inches. What is a logical estimate for the circumference of the circle? 3. Use the following graph to find the area of a rectangle with vertices of ( 2, 4), ( 2, 4), (1, 4), and (1, 4). A. 6 units 2. 16 units 2 C. 21 units 2 D. 24 units 2 A. between 20 and 28 inches. between 40 and 56 inches C. between 60 and 110 inches D. between 100 and 112 inches 4. Join A, and C to form AC. Find the area of AC. 2. Given the coordinates of X, Y, and Z, as shown in the figure, find the perimeter of the triangle A. 6 units. 11 units C. 12 units D. 14 units A. 19 square units. 21 square units C. 31 square units D. 42 square units page 1
5. In the given figure, AC has an area of 12. What is the value of a? A. 3. 5 C. 8 D. 12 7. Given the circle with center O and with m ROQ = 160, find the measure of minor arc PR. ( A. 10. 20 C. 40 D. 210 8. If m NOM = 30, then what is the length of the minor arc NM? ( A. π 3. 2π 3 6. Join the points on the coordinate plane. What is the area of parallelogram ACD? C. 5π 6 D. 3π 2 9. What is the length of A? ( A. 34 cm 2. 35 cm 2 C. 39 cm 2 D. 40 cm 2 A. 2 2. 2π C. 4π D. 16π page 2
10. The area of a sector of the circle with an arc measure of 30 and with a radius of 6 is. 13. Find the number of square units in the area of parallelogram ACD. A. 3π. 9π C. 12π D. 3 11. Given a circle with radius, r, and a sector with area, A, formed by angle of θ radians. Find a formula for θ in terms of A and r. 14. What is the area of rectangle ACD whose vertices are A(3, 2), (3, 2), C( 3, 2), and D( 3, 2)? A. θ = r2 2A. θ = 2A r 2 C. θ = A 2r 2 D. θ = 2A r 15. The area of a triangle is 24 square centimeters. If the base of this triangle is 8 centimeters, find the number of centimeters in the altitude. 12. Find the area of pentagon CANDY with vertices C( 6, 8), A(3, 8), N(6, 2), D( 4, 1), and Y( 7, 4). 16. If the ratio of the measures of corresponding sides of two similar triangles is 4 : 9, then the ratio of their perimeters is A. 2 : 3. 4 : 9 C. 16 : 81 D. 8 : 27 page 3
17. In the diagram below, A, C, and AC are tangents to circle O at points F, E, and D, respectively, AF = 6, CD = 5, and E = 4. 20. Keesha wants to tile the floor shown in the accompanying diagram. If each tile measures 1 foot by 1 foot and costs $2.99, what will be the total cost, including an 8% sales tax, for tiling the floor? What is the perimeter of AC? A. 15. 25 C. 30 D. 60 18. Find the perimeter of a square whose area is 25. 19. In the accompanying diagram of trapezoid ACD, A = 26, C = 10, CD = 18, C A, and altitude DE is drawn. 21. Express both the perimeter and the area of the rectangle shown in the accompanying diagram as polynomials in simplest form. What is the area of the trapezoid? A. 440. 228 C. 220 D. 180 page 4
22. In the diagram below, MATH is a rectangle, G = 4.6, MH = 6, and HT = 15. 25. In the accompanying diagram, the length of the diameter of circle O equals the length of a side of square ACD. If the area of the square is 100, find the length of r, the radius of circle O. What is the area of polygon MATH? A. 34.5. 55.5 C. 90.0 D. 124.5 23. What is the circumference of a circle whose radius is 6? A. 6π. 12π C. 36π D. 3π 26. In the accompanying diagram, right triangle AC, with the right angle at, is inscribed in circle O, AC is a diameter, A = 6 centimeters, and C = 8 centimeters. Find the area of the shaded region to the nearest tenth of a square centimeter. 24. Each side of a regular hexagon is represented by (x + 6). Which expression represents the perimeter of the hexagon? A. 36x. 5x + 30 C. 6x + 6 D. 6x + 36 page 5
27. The figure shown below is composed of two rectangles and a quarter circle. 28. In the accompanying diagram of AC, CD A, A = 12y, and CD = 8y. The area of AC can be expressed as A. 96y 2. 48y 2 C. 24y 2 D. 20y 2 What is the area of this figure, to the nearest square centimeter? A. 33. 37 C. 44 D. 58 page 6
Problem-Attic format version 4.4.316 c 2011 2017 EducAide Software Licensed for use by phelipedfernandes@gmail.com Terms of Use at www.problem-attic.com 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. G.GMD.1 C D A A A 5/15/2018 16. 17. C 18. 20 19. C 20. $148.54 21. Perimeter= 4x + 4, Area= x 2 + 2x 24 22. 23. 24. D 25. 5 26. 15.3 27. 28. 12. 97.5 13. 28 14. 24 15. 6