Geometry Practice Test 2

Question : 8 of 40

Marks: +1, -0

The length of two parallel chords lying on the same side of a circle is 6 cm and 4 cm respectively. The distance between them is 1 cm. Then the radius of the circle (in cm)
is _______.

15
$√{37}$
$√{23}$
$√{13}$

Validate

Solution:

In ΔOCD and ΔOAB
r =

√{(2)^2+(x+1)^2}

r =

√{x^2+(3)^2}

(2)^2+(x^2+1+2x)

x^2+9

4+x^2 + 1+2x

x^2+9

2x = 9 - 5
x =

4/2

= 2
r =

√{(2)^+(3)^2}

√{4+9}

√{13}

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