Question

PA = 10 cm, find the length of PB up to
one place of decimal.
9. In the given figure, ABCD is a
quadrilateral in which ZD = 90°. A circle
C(0,r) touches the sides AB, BC, CD
and DA at P, Q, R, S respectively. If
BC = 38 cm, CD = 25 cm and BP = 27 cm,
find the value of r.
ANSWERS (EXERCISE 1:
1 15 cm
27 cm
4.28 cm
5. BC = 8 cm​

Answer 1

Step-by-step explanation:

Properties used:

A tangent is perpendicular to the radius.

The tangent segments to a circle from same external point are equal.

Answer:

BP=27

therefore, BQ=27 (property 2)

so QC=38-27=11

therefore, CR=11

so RD=25-11=14

in quad. ORDS

ang.D=90

ang.R=90 (prop. 1)

OR=OS

therefore,ORDS is a square

therefore,

OS=RD

radius=RD

r=14