Inscribed Angles Tangents Angles Secants Tangents Angles Segments

Inscribed Angles Tangents & Angles Secants, Tangents, & Angles Segments In Circles Equations Of Circles 100 100 100 200 200 200 300 300 300 400 400 400 500 500 500

Inscribed Angles - 100 AB is a diameter. Find m<BCA. A 35° B C Answer: 90°

Inscribed Angles - 200 Find m<CBD. A B 50° D C Answer: 50°

Inscribed Angles - 300 If the measure of arc AC = 72°, find m<ABC. A 72° C P 36° B Answer: 72/2 = 36° D

Inscribed Angles - 400 Find the measure of arc BD. A C P 35° 55° 90° 70° D Answer: m<BCD = 35°, so arc BD = 70° B

Inscribed Angles - 500 Find the measure of arc ABD. A 108° 72° C P 36° B 55° 110° 70° D Answer: m. AC = 72° and m. CD = 110°, So m. ABD = 360 – (110 + 72) = 178°

Tangents and Angles - 100 Find BA. B A 5 P 8 5 Answer: 52 + x 2 = 132, so x = 12 = BA

Tangents and Angles - 200 B Find x. 4 x + 18 A 7 x . P Answer: 4 x + 18 = 7 x, so x = 6 C

Tangents and Angles - 300 Find the measure of arc BC. B A 42° 48° C 48° P D Answer: m<BPA = 48°, so m. BC = 48°

Tangents and Angles - 400 Find the measure of arc UV. X S U W Y 40° 50° R 50° V Answer: 100° 40° Z T

Tangents and Angles - 500 X Find UT. 8 U 3 R 4 W Y 2 3 4 3 V 6 6 4 Z 8 Answer: For UW: 32 + x 2 = 52, UW = 4 For XW: 62 + x 2 = 102, WX = 8, so UT = 4 + 8 = 12 S 6 T

Secants, Tangents, Angles - 100 Find m<EBC. A B C 120° E . D 240° Answer: m<EBC = 240/2 = 120°

Secants, Tangents, Angles - 200 Find m<3. 160° A B 1 4 2 3 80° C D 60° C Answer: m<3 = (60 + 160)/2 = 110°

Secants, Tangents, Angles - 300 Find m<WXY. W X 105° 55° Z Y 200° Answer: m<WXY = (105 – 55)/2 = 25°

Secants, Tangents, Angles - 400 Find m<LJK 40º L K 40º J I H 110º 20º M 150º N Answer: m<LJK = (40 + 170)/2 = 105º

Secants, Tangents, Angles - 500 (11 x - 5)º Find m<H L (6 x)º I H (4 x)º 20º K J 110º (20 x + 10)º M N Answer: 150º 4 x + 6 x + 11 x - 5 + 20 x + 10 + 150 = 360, so x = 5. Then m. KN = 110 º and m. IM = 20º, so m<H = (110 - 20)/2 = 45 º

Segments in Circles - 100 Find x. A 6 x 9 C D Answer: 6· 3 = 9 x, x = 2 3 C B

Segments in Circles - 200 Find x. R 6 T S 4 Answer: 62 = 4(4 + x), x = 5 x U

Segments in Circles - 300 Find x. L x N 4 M 3 O 5 Answer: 4(4 + x) = 3(8), x = 2 P

Segments in Circles - 400 Find x. A B 4 x D 16 C Answer: x·x = 16 · 4, x = 8 C

Segments in Circles - 500 Find x. G x F x H 14. 6 E 5 I Answer: x(x + x) = 5(19. 6), 2 x 2 = 98, so x = 7

Equations of Circles - 100 What are the coordinates of the center of a circle with equation (x – 4)2 + (y + 5)2 = 16 Answer: (4, -5)

Equations of Circles - 200 What is the radius of a circle, as a decimal to the nearest tenth, with equation: (x – 4)2 + (y + 5)2 = 34. Answer: √ 34 = 5. 8

Equations of Circles - 300 Write the equation for circle K. K Answer: (x + 1)2 + (y + 2)2 = 9

Equations of Circles - 400 Find the equation of circle P. P Answer: (x – 1)2 + y 2 = 25

Equations of Circles - 500 Name the coordinates of a point on the circle with equation (x – 1)2 + y 2 = 4 Answer: The center of the circle is (1, 0) and the radius is 2. The easiest way to find the coordinates of a point on the circle would be to move 2 units above (1, 2), below (1, -2), left (-1, 0), or right (3, 0) of the center.