*6. In the figure, the larger circle, centre O, intersects the smaller circle at P and R. Q is another point on the smaller circle such that QRS is the tangent to the larger circle at R. (a) Show that QPT is also the tangent to the larger circle at P. (b) If PQ = 3 cm and the radius of the smaller circle is 2.5 cm, find the radius of the larger circle.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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diameter of the circle. PAQ IS a straigit me paranel t0 31.
OP meets the circle at R.
(a) Show that PQ is also the tangent to the circle at A.
(b) Furthermore, if 2OPA = 32°, find ZRBS.
*6. In the figure, the larger circle, centre o, intersects the
smaller circle at P and R. Q is another point on the smaller
circle such that QRS is the tangent to the larger circle at R.
(a) Show that QPT is also the tangent to the larger circle at
P.
(b) If PQ = 3 cm and the radius of the smaller circle is
2.5 cm, find the radius of the larger circle.
ALPHA
Mathematics Education
ALP
Mathen
20
ND
Transcribed Image Text:diameter of the circle. PAQ IS a straigit me paranel t0 31. OP meets the circle at R. (a) Show that PQ is also the tangent to the circle at A. (b) Furthermore, if 2OPA = 32°, find ZRBS. *6. In the figure, the larger circle, centre o, intersects the smaller circle at P and R. Q is another point on the smaller circle such that QRS is the tangent to the larger circle at R. (a) Show that QPT is also the tangent to the larger circle at P. (b) If PQ = 3 cm and the radius of the smaller circle is 2.5 cm, find the radius of the larger circle. ALPHA Mathematics Education ALP Mathen 20 ND
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