Question

find the solution of the question ​

Answer 1

Answer:

the diameter of the larger circle is 10

Step-by-step explanation:

given op =3 cm

ab = 8 cm

two circles have same diameter

t.f = diameter of larger circle

construction: draw join ai and ob

proof: in triangle aop

ap is equal to 4 cm ( line drawn from the centre of a circle to a chord is perpendicular to it and divides it in 2 equal parts)

by Pythagoras theorem

ao 2 = ap2 + op2

ao 2 = 16 + 9

= 25

ao = 5

but ao is diameter of the larger circle therefore

2ao = diameter

2×5= 10

diameter of the larger circle is 10

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