**Test moved to tomorrow!** Agenda 4/17 Grade review packet, questions? Luck of the draw activity **Test moved to tomorrow!**

Problem 1 On a pizza, the crust represents the ______________ of the pizza and the crust of the slices represents the _______________________. Circumference, arc length

Problem 2 A ________________ is exterior of a circle and is perpendicular to either a radius or a diameter. Tangent

Problem 3 Your friend wants you to help paint polka dots in your bedroom. She wants to figure out how much paint she would need to create these circles. You suggest that she finds the ______________ of each circle and add it up. area

Problem 4 The __________________ and the measure of the arc are the same measurement. Central angle

Problem 5 Find m 𝑀𝑁  M R N P Q 63 82 O 63

Problem 6 Find m 𝑁𝑄𝑅 180

Problem 7 Find m 𝑄𝑀𝑅 297

Problem 8 Find m∠D D A B C 83 81 109 82

Problem 9 Find m∠B 98

Problem 10 Find m 𝐶𝐵 P B A D E 70 C 70

Problem 11 Find m 𝐵𝐷 40

Problem 12 Find m∠CED 55

Problem 13 The diameter of a circular swimming pool is 15 feet. Find the exact circumference and area of the top of the pool. Label your answers and use appropriate units. C = 15π A = 56.25π

Problem 14 Points X and Y lie on ⨀P so that PX = 5 meters and 𝑚∠𝑋𝑃𝑌 = 90°. Find the exact length of 𝑋𝑌 . 2.5π

Problem 15 Jamie shades in a sector of a circle defined by a central angle of 12° with radius 4.3 inches. Find the area of the shaded sector. ≈0.62π

Problem 16 Find YB if the diameter of ⨀A is 10 inches, the diameter of ⨀B is 8 inches, and AX = 3 inches. YB = 2

Problem 17 𝐸𝐹 and 𝐹𝐺 are tangent to the circle. Solve for x. 10.5 E

Problem 18 P is the center, AB = 18 m, PQ = 12 m. What is the length of the radius? A B P R Q 15

Problem 19 Write the equation of a circle that goes through (2, 4) with a center located at (–2, 1). 𝑑= ( 𝑥 2 − 𝑥 1 ) 2 + ( 𝑦 2 − 𝑦 1 ) 2 (𝑥+2) 2 + (𝑦−1) 2 =25

Problem 20 Write the equation of a circle that has a radius of 6 if the center is (–3, 4). (𝑥+3) 2 + (𝑦−4) 2 =36

Problem 21 Take the following equation and place in standard form and find the center and radius. 𝑥 2 −6𝑥+ 𝑦 2 −2𝑦−6=0 (𝑥−3) 2 + (𝑦−1) 2 =16

Problem 22 Find 𝑚∡𝑃𝑆𝑄 if 𝑚∡𝑃𝑆𝑄=(3𝑦−10)o and 𝑚∡𝑃𝑅𝑄=(2𝑦+10)o. 50