EOC Practice Question of the Day.

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Presentation transcript:

EOC Practice Question of the Day

Intersections of Circles and Tangent Segments

Two circles can intersect: in two points one point or no points

No points of intersection, but different centers

Have no points of intersection, but the same center Concentric Circles Have no points of intersection, but the same center Same center but different radii

One point of intersection are called Tangent Circles Externally Tangent Internally Tangent

TWO points of intersection

x = 15 92 + 122 = x2 leg2 + leg2 = hyp2 1. Find the value of x. A 12 B

RQ = 16 122 + (RQ)2 = 202 leg2 + leg2 = hyp2 2. Find the length of RQ. 8 R Q RQ = 16

3. Is CB tangent to the circle? leg2 + leg2 = hyp2? A 32 162 + 242 = 322 ? C 16 24 B No

r = 10 320 = 32r r2 + 242 = (r + 16)2 4. Find the radius. C r = 10 24 B

5. A green on a golf course is in the shape of a circle 5. A green on a golf course is in the shape of a circle. Your golf ball is 8 feet from the edge of the green and 32 feet from a point of tangency on the green. What is the radius? b) How far is your ball from the cup at the center? x = 60 ft. x = 68 ft.

S If two segments from the same exterior point are tangent to a circle, then they are congruent. R T Party hat problems!

6. Find the value of x. R S T

7. Find the value of x. R S T

8. Find the value of x. C A B

9. Find the value of x. B 3 A C 4 P D E

10. Find the length of NP. N 8 8 T S 10 4 P R Q