in the given figure the area enclosed between two concentric circle is 808.5 CM square the circumference of the outer circle is 242 CM calculate the radius of the inner circle and the width of the Ring
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radius of inner circle = 35 cm
width of ring = 3.5 cm
Step-by-step explanation:
cicumference of outer circle = 242 cm
radius of outer circle = (242x7)/2x22 = 38.5 cm
area of outer circle = (22/7) x 38.5x38.5 sq.cm = 4658.5 cm square
area between two circle = 808.5 cm square
area of inner circle = area of outer circle - area between two circle
= 4658.5 - 808.5 cm square = 3850 cm square
let the radius of inner circle be r cm
area = πr^2
⇒ πr^2 = 3850
⇒ r^2 = 3850x7/22
⇒ r^2 = 1225
⇒ r = 35 cm
radius of inner circle = 35 cm
width of ring = radius of outer circle - radius of inner circle = 38.5-35
= 3.5 cm
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