Question

The circumferences of two circles are touching externally. The distance between their centres is 12 cm. The radius of one circle is 7 cm. Find the diameter(in cm) of the other circle.

A) 12 B) 10 C) 8 D) 5

Answer 1

Answer:

c is correct

Step-by-step explanation:

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Answer 2

Question:

The circumferences of two circles are touching externally. The distance between their centres is 12 cm. The radius of one circle is 7 cm. Find the diameter(in cm) of the other circle.

A) 12

B) 10

C) 8

D) 5

Given:

• The radius of First circle => 7 cm.

• Distance between the circumferences of two circles => 12 cm

To Find:

Diameter of the second circle.

Answer:.

Let $r_{1}$ = 7 be the radius of first circle and $r_{2}$ be the radius of second circle.

(Figure is in attachment)

$\implies r_{1}+r_{2}=12$

$\implies 7+r_{2}=12$

$\implies r_{2}=12-7$

$\implies r_{2}=5$

∴ Diamter of the second circle  

$\implies 2\times 5$

$\implies 10$

∴ 10 is the diameter of second circle(option-B)

Hope it helps :)