Question

A circular garden of diameter 10units is surrounded by a pathway that is 2units wide. Assuming that the center of the garden is at the origin, give the equation that describe the bigger circle.

Answer 1

Answer:

24pi

Step-by-step explanation:

As you can see there are two concentric circles (i.e. with same centre). Let the radius of outer circle be R and inner circle be r.

r = 10/2 = 5m

R = 5 (radius of inner circle) + 2 (width of the path) = 7m

Area of the path = Area of Outer circle - Area of Inner circle

= pi * (R)^2 - pi * (r)^2

= pi * (7)^2 - pi * (5)^2

= 49* (pi) - 25* (pi)

= 24pi