Question

If the sum of radii of two circle is 91 cm and difference between their area is 2002 cm2. Find the radius of larger circle

Answer 1

$\huge\underline\green{Question:-}$

If the sum of radii of two circle is 91cm and difference between their area is 2002cm². Find the radius of larger circle

$\huge\underline\red{Answer:-}$

Larger circle = 49cm

$\huge\underline\blue{Given:-}$

• Sum of radii of two circle is 91cm
• Difference between their area is 2002cm²

$\huge\underline\pink{To find:-}$

The radius of larger circle

$\huge\underline\violet{Step \ by \ step \ explanation:-}$

Let the radii be a and b respectively,

⇒a + b = 91-------( 1 )

⇒Difference in area = (22/7)×(a²- b²)=2002

⇒a²- b²= 91 × 7-------( 2 )

Dividing equation ( 2 ) by equation ( 1 ) and using [a² - b² = (a + b)(a - b)]we get,

⇒a - b = 7-------( 3 )

By adding equation ( 1 ) and ( 3 ), we get

⇒2a = 98

⇒a = 98 / 2

⇒a = 49 cm

⇒b = 42 cm

Therefore, Radius of large circle is " 49 cm "

Answer 2

Answer:

Radius of large circle is 49 cm

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