The diameter of a circle was area is equal to sum of areas of two circle of radii 40 and 9cm is
Answers
Answered by
3
Diameter = 2r
Area of circle = πr²
By condition,
Area of circle = Area of circle with radii 40cm + Area of
circle with radii 9cm
πr² = πr² + πr²
πr² = π40² + π 9²
πr² = π( 1600+ 81)
r² = 1681
r =√1681
r= 41
But diameter = 2r
Diameter = 2×41
Diameter = 82cm
Hence , Diameter of circle is 82cm
Area of circle = πr²
By condition,
Area of circle = Area of circle with radii 40cm + Area of
circle with radii 9cm
πr² = πr² + πr²
πr² = π40² + π 9²
πr² = π( 1600+ 81)
r² = 1681
r =√1681
r= 41
But diameter = 2r
Diameter = 2×41
Diameter = 82cm
Hence , Diameter of circle is 82cm
Similar questions