Question

The area of the large circle is 14.1cm2 and area of the small circle is 5.6cm2. How many times larger is the radius of the large circle than the radius of the small circle?

Answer 1

Given:

Area of the large circle = 14.1 cm²

Area of the small circle = 5.6 cm²

To find:

How many times is the radius of the large circle more than the radius of the small circle.

Solution:

A/q,

πR² = 14.1 cm²                        (∴R is the radius of the large circle)

⇒ 22/7 * R² = 14.1

⇒ R² = 14.1 * 7/22

⇒ R² = 4.48

⇒ R = √4.48

⇒ R = 2.11 cm

Again,

πr² = 5.6 cm²                       (∴r is the radius of the small circle)

⇒ 22/7*r² = 5.6

⇒ r² = 5.6 * 7/22

⇒ r² = 1.78

⇒ r = 1.33 cm

Now,

2.11/1.33

= 1.58

= 1.6 (approx.)

∵Thus, the radius of the large circle is 1.6 times more than the radius of the small circle.

Answer 2

$</p><p>\huge{\fbox{\fbox{\rightarrow {\mathfrak {\red{ANSWER \: - \: 1.6 \: Times. }}}}}}$

$</p><p>\underline{\underline {\orange{\tt{Step-By-Step-Explaination \: : }}}}$

$</p><p>\huge{\fbox{\fbox{\rightarrow {\mathfrak {\green{QUESTION : }}}}}}$

• The Area Of The large Circle Is 14.1 square cm.

• The Area Of The Small Circle Is 5.6 square cm.

To Find :

• How many Times is the Radius of the Larger Circle larger Than The Radius Of The Smaller Circle.

$</p><p>\huge{\fbox{\fbox{\rightarrow {\mathfrak {\bold{\blue{FORMULA \: USED : }}}}}}}$

$</p><p>\underline {\underline {\orange {\tt{Area \: Of \: A \: Circle \: Is \: π × r^2. }}}}$

From This Formula We Get :

• Radius Of Outer Circle = 2.11 cm.

• Radius Of Inner Circle = 1.33 cm.

$</p><p>\huge{\fbox{\fbox{\rightarrow {\mathfrak {\red{\frac{R1}{R2} { = \: 1.6 }}}}}}}$