Question

Find the area of quadrant of circle whose circumference is 20cm.​

Answer 1

Answer:

24.6

Step-by-step explanation:

circumference of quadrant of circle = 2r + lenght of arc

20= 2r + (90/360)× 2×pi×r

20=2r+(1/4)×2×pi×r

20=2r+(1/2)×3.14×r

20=(4r+3.14×r)/2

20×2=4r+3.14r

40=7.14r

r=40/7.14

r=5.60 ( approx)

area of quadrant = (1/4)×pi×r^2

=(1/4)×3.14×5.6×5.6

=(1/4)×98.4

=24.6

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Answer 2

Answer:

Area of quadrant = 7.95 cm²

Step-by-step explanation:

Given that,

circumference of circle = 20 cm

=> 2πr = 20

=> 2 × 22/7 × r = 20

=> r = (20×7)/(2×22)

=> r = 140/44

=> r = 35/11

Now,

area of quadrant = 1/4 × πr²

=> Area of quadrant = 1/4 × 22/7 × 35/11 × 35/11

=> Area of quadrant = 7.95 cm²

Hence, area of quadrant whose circumference is 20 cm is 7.95 cm².