Question

The area of two circular field are in the ratio 16 : 49. If the radius of bigger field is14 m, then what is the radius of the smaller field?

• A. 4 m
• B. 8 m
• C. 9 m
• D. 10 m

Answer 1

Answer:

B. 8 m

Solution:

Radius of bigger field = 14 m

Area of Bigger field = πr² = 49x

=>\frac{22}{7}\times{14^2}=49x

=>\frac{22}{7}\times{14}\times{14}=49x

=>22\times{2}\times{14}=49x

=>x=\frac{88}{7}

Area of smaller circle = πr² = 16x

=>\frac{22}{7}\times{(r^2)}=16\times{\frac{88}{7}}

=>r^2=16\times{4}

=>r^2=64

=>r=8