The perimeter of angle abc is 98 centimeters. if the radius circle a is twice the radius of circle c and the radius of circle b is four times the radius of circle c, then find the radius of circle c.

Answer : The radius of circle C is 7 cm.

Explanation:

As we shown in the figure below:

Let the radius of circle C is x

Let the radius of circle A is 2x

Let the radius of circle of B is 4x

So The length of side AC of ΔABC is x+2x = 3x

The length of side  BC  of ΔABC is 4x+x = 5x

The length of side AB of ΔABC  is 4x+2x = 6x

Since we have given that the perimeter of triangle ΔABC is 98 cm.

and we know that the perimeter means the sum of boundary of sides of triangle .

so, Perimeter = 6x+5x+3x = 98 cm

⇒ 14x= 98

⇒ x=

⇒ x=7

So, the radius of circle C is 7 cm.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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