Question

1.(a) the radii of two circles are 8cm and 6cm respectively. find the radius of the circle having its area equal to the sum of the areas of the two areas

b) find the area of circle inscribed in an square of side of 14cm.​

Answer 1

Answer:

a) Using the formula of area of circle A = πr2, we can find the radius of the circle.

The radius of the 1st circle = 8 cm

The radius of the 2nd circle = 6 cm

Let the radius of the 3 rd circle be equal to r.

Area of the 1st circle = πr₁2= π(8)2 = 64π sq.cm ------------ (1)

Area of the 2nd circle = πr₂2 = π(6)2 = 36π sq.cm ----------- (2)

Given that, Area of the 3rd circle = Area of the 1st circle + Area of the 2nd circle

πr2 = πr₁2 + πr₂2

πr2 = 64π + 36π [From equation (1) and (2)]

πr2 = 100π

r2 = 100

r = ± 10

However, the radius cannot be negative. Thus, r = 10

Therefore, the radius of the circle having an area equal to the sum of the areas of the two circles is 10 cm.

b) image is given above

Answer 2

Answer:

hii army.

friends???

Step-by-step explanation:

a) The radius of the circle having an area equal to the sum of the areas of the two circles of radii 8 cm and 6 cm respectively is 10 cm.

b) 42 sq.cm

hope it will help you.