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Find the Circumference of the Circle Whose Area is 25 Times the Area of the Circle with Radius 7 Cm. - Mathematics

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प्रश्न

Find the circumference of the circle whose area is 25 times the area of the circle with radius 7 cm. 

योग

उत्तर

Area of the circle with radius 7 cm = π r2 

`= 22/7 xx 7 xx 7`

= 154 cm2

Area of new circle = 25 x area of the drde with radius 7 cm 

= 25 x 154 cm2 

= 3850 cm2

Therefore ,

π R2 = 3850

R2 = `3850 xx 7/22`

R = 1225

R = 35 cm

Radius of new circle = 35 cm 

Circumference of new circle = 2 π R

`= 2 xx 22/7 xx 35`

= 220 cm

Hence, Circumference of new circle = 220 cm  

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अध्याय 19: Mensuration I - Exercise 19.1

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 19 Mensuration I
Exercise 19.1 | Q 10

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