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Elementary Geometry For College Students, 7e
- The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle of radius 9 inches. What is the exact length of common internal tangent AB? HINT: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.arrow_forwardThe center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of radius length 3 in. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.arrow_forwardCircles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible, explain what type of triangle PQO is if: a OX=2,PY=3,QZ=1 b OX=2,PY=3,QZ=2arrow_forward
- Given that mAC:mBC:mAB=4:3:2 in circle O: a Which arc is largest? b Which chord is longest?arrow_forwardIn O with diameter AC, OC=5 and AB=6. If M is the midpoint of BC, find AM.arrow_forwardThe larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent to the larger circle and to two sides of the square, as shown. Find the length of the radius of the smaller circle.arrow_forward
- In O with diameter AC, OC=5 and AB=6. If M is the midpoint of BC, find AM. _arrow_forwardIn concave hexagon HJKLMN, mH=72. Exterior angles at J and L arc formed by extensions of HJ and ML. Bisector JP of the exterior angle at J and bisector LP of the exterior angle at L meet at point P. Find mP.arrow_forwardGiven: AB is an external tangent to O and Q at points A and B; radii lengths for O and Q are 4 and 9. Find: AB HINT: The line of centers OQ contains point C, the point at which O and Q are tangent.arrow_forward
- In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._arrow_forwardRefer to the plate shown in Figure 117 and determine the following distances. All dimensions are in inches. a. The horizontal center distance between the 0.265" diameter hole and the 0.150" diameter hole. b. The horizontal center distance between the 0.385" diameter hole and the 0.150" diameter hole. c. The distance between edge A and the center of the 0.725" diameter hole. d. The distance between edge B and the center of the 0.385" diameter hole. e. The distance between edge B and the center of the 0.562" diameter hole.arrow_forwardaBecause point Q is their common center, these circles are known as _ circles. bIf RQ=3 and QV=5, find the length of chord TV which is also a tangent to the inner circle.arrow_forward
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