49. ⊙ O circle dot o  below is inscribed in square ABCD and circumscribed about square PQRS. Which is smaller, the blue region or the yellow region? Explain.

    

50. Circles T and U each have radius 10 and T U = 10   . t u equals 10 .  Find the area of the region that is contained inside both circles. (Hint: Think about where T and U must lie in a diagram of ⊙ T circle dot t  and ⊙ U . circle dot u . )

Standardized Test Prep

SAT/ACT

51. A circular tabletop has a diameter of 6 ft. What is its area?
    1. 6 π   ft 2 6 pi , ft squared
    2. 9 π   ft 2 9 pi , ft squared
    3. 12 π   ft 2 12 pi , ft squared
    4. 36 π   ft 2 36 pi , ft squared
52. What is the value of x in the diagram below?

    

    6. 3
    7. 3 2 3 square root of 2
    8. 6 2 6 square root of 2
    9. 9
53. The radius of ⊙ P circle dot p  is 3 cm and the measure of central ∠ A P B angle eh p b  is 100. What is the measure of A B ⌢ ? modified eh b with frown above , question mark
    1. 50
    2. 100
    3. 260
    4. 300

Extended Response

54. A circle has area 81 π y   d 2 . 81 pi . y , d squared , .
    1. What is the circumference of the circle?
    2. What is the length of a 45 ° 45 degrees  arc of this circle? Show all your work.

Mixed Review

See Lesson 10-6.

Find the length of A B ⌢ modified eh b with frown above  in each circle. Leave your answers in terms of π . pi .

See Lesson 6-6.

58. Three sides of a trapezoid are congruent. The fourth side is 4 in. longer than each of the other three. The perimeter is 49 in. What is the length of each side?

Get Ready! To prepare for Lesson 10-8, do Exercises 59–63.

See Lesson 10-7.

59. ⊙ A circle dot eh  has radius 4 cm and ⊙ B circle dot b  has radius 6 cm. What is the ratio of the area of ⊙ A circle dot eh  to the area of ⊙ B ? circle dot b question mark  Write your answer in simplest form.

See p. 838.

You roll a number cube. Find each probability.

60. P(4)
61. P(2 or 5)
62. P(odd number)
63. P(prime number)

Table of Contents