Question

The perimeter of a rectangle is 68 cms. Length of the rectangle is 6 cms more than its breadth What will be the area of the largest circle drawn
inside the rectangle ? (in centimeters square)
​

Answer 1

ANSWER:

• Area of circle = 616 cm²

GIVEN:

• Perimeter of the rectangle = 68 cm

• Length is 6 more than the breadth

TO FIND:

• Area of the largest circle drawn inside the rectangle

EXPLANATION:

$\boxed{\boxed{\large{\bold{Area \ of \ rectangule = 2(L + B)}}}}$

Let breadth be x and length be x + 6

2(x + x + 6 ) = 68

2(2x + 6) = 68

2x + 6 = 34 cm

2x = 28 cm

x = 14 cm

Breadth = 14 cm

Length = 31 + 6 = 20 cm

Radius of the largest circle that can be drawn inside the circle will be equal to the breadth.

Hence radius = 14 cm

$\boxed{\boxed{\large{\bold{Area \ of \ circle = \pi r^2}}}}$

Area of circle = 22/7 × 14 × 14

Area of circle = 22 × 14 × 2

Area of circle = 22 × 28

Area of circle = 616 cm²

Area of the largest circle drawn inside the rectangle = 616 cm².

Answer 2

Answer:

Given:

• The perimeter of a rectangle is 68 cms. Length of the rectangle is 6 cms more than its breadth.

Find:

• What will be the area of the largest circle drawn inside the rectangle ? (in centimeters square).

Note:

• According to the given question let us assume x as breadth and x + 6 as length.

Calculations:

⇢ $\sf{2(2x + 6) = 68}$

⇢ $\sf{2x + 6 = 34}$

⇢ $\sf{2x = 28}$

⇢ $\sf{x = 14}$

So,

⇢ $\bold{Breadth = 14 \: cm}$

⇢ $\bold{Length = 31 + 6 = 20 \: cm}$

.•. Radius is equal to 14 cm.

Using formula:

★ ${\bold{\boxed{\orange{\bold{Area \: of \: Circle = \pi r^{2}}}}}}$

Calculations:

⇢ $\sf{\dfrac{22}{7} * 14 * 14}$

⇢ $\sf{22 * 14 * 2}$

⇢ $\sf{22 * 28}$

⇢ $\bold{616 \: cm^{2}}$

Therefore, 616 cm² is the area of the largest circle drawn inside the rectangle in cm.