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# find the area of quadrant whose circumference is 22cm

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### Mohammed

Guys, does anyone know the answer?

get find the area of quadrant whose circumference is 22cm from screen.

## Find the area of a quadrant of a circle whose circumference is 22 cm Question

## Find the area of a quadrant of a circle whose circumference is 22 cm

Easy Open in App Solution Verified by Toppr wehave C=22cm ⇒2πr=22cm ⇒2× 7 22 ​ ×r=22 ∴r=3.5cm Now,

4 πr 2 ​ = 7 22 ​ × 4 (3.5) 2 ​ = 28 22×12.25 ​ =9.625cm 2 . ​

1228 236

स्रोत : www.toppr.com

## Find the area of a quadrant of a circle whose circumference is 22 cm. We find the radius of the circle (r) from the circumference (c), C = 2πr, and area of the circle using A = πr^2.

Find the area of a quadrant of a circle whose circumference is 22 cm. We find the radius of the circle (r) from the circumference (c), C = 2πr, and area of the circle using A = πr^2. ## Find the area of a quadrant of a circle whose circumference is 22 cm

Solution:

Let the radius of the circle be 'r'

Thus, the circumference C = 2πr

Therefore, r = C/2π

A quadrant of a circle means one of the four equal parts.

Therefore, the area of a quadrant = 1/4 × Area of a circle = 1/4 × πr2

Circumference (C) = 22 cm

= 22/(2 × 22/7) = (22 × 7)/(2 × 22) = 7/2 cm

Therefore, the area of a quadrant = 1/4 × πr2

= 1/4 × 22/7 × 7/2 × 7/2

= 77/8 cm2

☛ Check: NCERT Solutions Class 10 Maths Chapter 12Video Solution:

## Find the area of a quadrant of a circle whose circumference is 22 cm.

NCERT Solutions Class 10 Maths Chapter 12 Exercise 12.2 Question 2

Summary:

The area of a quadrant of a circle whose circumference is 22 cm is 77/8 cm2.

☛ Related Questions:

The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.

A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding : (i) minor segment (ii) major sector. (Use π = 3.14)

In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:(i) the length of the arc(ii) area of the sector formed by the arc(iii) area of the segment formed by the corresponding chord

A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of the corresponding minor and major segments of the circle. (Use π = 3.14 and √3 = 1.73)

स्रोत : www.cuemath.com

## Ex 12.2, 2

Ex 12.2, 2 Find the area of a quadrant of a circle whose circumference is 22 cm. Area of quadrant = 1/4× area of circle = 1/4×("π"r2 ) Now, we need to find r. It is given that Circumference = 2πr 22 = 2πr 22/2 = πr 11 = πr 11/𝜋 = r Check sibling questions

## Ex 12.2, 2 - Chapter 12 Class 10 Areas related to Circles (Term 1)

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### Transcript

Ex 12.2, 2 Find the area of a quadrant of a circle whose circumference is 22 cm. Area of quadrant = 1/4 area of circle = 1/4 (" "r2 ) Now, we need to find r. It is given that Circumference = 2 r 22 = 2 r 22/2 = r 11 = r 11/ = r r = 11/ r = 11/(22/7) r = 11 7/22 r = 7/2 cm Now, area of quadrant = 1/4 area of circle = 1/4(" "r2) = 1/4 22/7 (7/2)^2 = 1/4 22/7 (7 7)/(2 2) = 1/2 11/1 7/4 = 77/8 cm2

Next: Ex 12.2, 3 Important → 