1. Unit 3
Circles& Volumes

2. 54. What is the value of 𝒙 in this diagram?

3. 55. Given 𝑻, with the inscribed quadrilateral, find the value of each variable.

4. 56. 𝑨𝑩 is tangent to 𝑪 at point 𝑩
56. 𝑨𝑩 is tangent to 𝑪 at point 𝑩. 𝑨𝑪 measures 12 inches and 𝑨𝑩 measures 7 inches. What is the radius of the circle?

5. 57. 𝑮iven 𝑸, the 𝒎𝑨𝑩𝑪= 𝟓𝟒° and the 𝒎𝑨𝑸𝑪=(𝟐𝒙+𝟔)° find the value of x.

6. 58. 𝑰𝒇two tangents of 𝑿 meet at the external point 𝒁, find their congruent length.

7. 59. 𝑻he measure of 𝑪𝑫 is 𝟔𝟒°. What is the measure of 𝑩𝑫𝑪?

8. 60. 𝑰sosceles triangle 𝑨𝑩𝑪 is inscribed in this circle
60. 𝑰sosceles triangle 𝑨𝑩𝑪 is inscribed in this circle. 𝑨𝑩 ≅ 𝑩𝑪 and 𝒎 𝑨𝑩 =𝟏𝟎𝟖°. What is the measure of 𝑨𝑩𝑪?

9. 61. In this diagram, segment 𝑸𝑻 is tangent to circle 𝑷 at point 𝑻
61.In this diagram, segment 𝑸𝑻 is tangent to circle 𝑷 at point 𝑻. The measure of minor arc 𝑺𝑻 is 𝟕𝟎°. What is 𝒎𝑻𝑸𝑷?

10. 62. A sphere has a radius of 8 cm. What is the surface area
62. A sphere has a radius of 8 cm. What is the surface area? Answer in both decimal and exact -form.

11. 63. When comparing two different sized bouncy balls, by how much more is the volume of larger ball if its radius is 3 times larger than the smaller ball?

12. 64. Find the volume of the following figures.