The diameters of the two circles is 32cm and 24 cm find the radius of the circle having it's area equal to sum of the areas of the two given circles
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take area of both circles then add these up don't solve pi I have shown how to do it watch it add sum of radius square and then root it u will find ur answer
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Heya !!!
Diameter of first circle ( D1 ) = 32 cm
Radius ( R ) = D/2 = 32/2 = 16 cm
Area of first circle ( A1) = πR1²
=> 22/7 × 16 × 16
=> 804.57 cm²
Diameter of second circle ( D2 ) = 24 cm
Radius of second circle ( R2) = D2/2 = 24/2 = 12 cm.
Area of second circle ( A2 ) = πR2²
=> 22 / 7 × 12 × 12
=> 452.57 cm²
Let radius of another circle be R.
Area of another circle = πR²
According to question,
Area of another circle = ( Sum of areas of two circles )
Area of another circle = ( Area of first circle + Area of second circle )
πR² = ( 804.57 + 452.57 ) cm²
πR² = 1257.14
22/7 × R² = 1257.14
22 × R² = 1257.14×7
R² = 87799.97/22
R² = 399.99
R = ✓399.99 = 19.9 cm
★ HOPE IT WILL HELP YOU ★
Diameter of first circle ( D1 ) = 32 cm
Radius ( R ) = D/2 = 32/2 = 16 cm
Area of first circle ( A1) = πR1²
=> 22/7 × 16 × 16
=> 804.57 cm²
Diameter of second circle ( D2 ) = 24 cm
Radius of second circle ( R2) = D2/2 = 24/2 = 12 cm.
Area of second circle ( A2 ) = πR2²
=> 22 / 7 × 12 × 12
=> 452.57 cm²
Let radius of another circle be R.
Area of another circle = πR²
According to question,
Area of another circle = ( Sum of areas of two circles )
Area of another circle = ( Area of first circle + Area of second circle )
πR² = ( 804.57 + 452.57 ) cm²
πR² = 1257.14
22/7 × R² = 1257.14
22 × R² = 1257.14×7
R² = 87799.97/22
R² = 399.99
R = ✓399.99 = 19.9 cm
★ HOPE IT WILL HELP YOU ★
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