A ring is enclosed between two concentric circles. If the circumference of the outer circle and the inner circle are 95 cm and 70 cm respectively then find the area of the ring. .
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Answer:
Let the radii of outer and inner circle be R and r
Then it is given
2πR=95 and 2πr,=70
R=95/2π and r=70/2π
Area of the ring= πR^2-πr^2
=π{R^2-r^2}
=π{(95/2π)^2-(70/2π)^2}
=(1/4π)(95^2-70^2)
=(1/4π)(95+70)(95-70)
=(1/4π)(165)(25)
=(1/8)(15)(25)
=375/8 Ans
Answered by
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Answer:
Area of Ring =328.42cm³
Step-by-step explanation:
the area of ring= area of outer circle - area of inner circle
let,radius of outer circle=R1
circumference of outer circle = 2πR1=95cm
πR1=95/2
πR1=47.5
R1=47.5/π
R1= 47.5/3.14
area of outer circle = πR1²=3.14×47.5/3.14×47.5/3.14
=718.55cm² -eq(1)
Circumference of inner circle =2πR2=70cm
πR2=70/2=35
R2=35/π
R2=35/3.14
area of inner circle=
πR2²=3.14×35/3.14×35/3.14
=390.127cm³ -eq(2)
area of ring= eq1- eq2
=718.55-390.13
=328.42cm3. Answer
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