Question

calculate the area of the shaded region of the circle whose inner radius is 5cm and outer radius is 10 cm
shaded area = 10 cm
guys the answer of this question is 75 pie square cm but how ​

Answer 1

Answer:

75$\pi$ cm²

Step-by-step explanation:

As you havent provided the required figure for the question,

i take there are 2 cirlces larger circle inside the smaller circle with a common centre.

and also, i assume that the shaded region is the region between the larger circle and the smaller circle.

=> Area of the shaded region = area of larger circle -  area of smaller circle

given, that the radius of the larger circle, r₁ = 10cm

       also, the radius of the smaller circle, r₂ = 5cm

we have,

Area of the shaded region = area of larger circle -  area of smaller circle

                                             =  $\pi$r₁² - $\pi$r₂² sq.units

                                             = $\pi$(r₁²-r₂²) sq.units

                                             = $\pi$(10²-5²) cm²

                                             = $\pi$(100-25) cm²

                                             = 75$\pi$ cm²