Question

The inner circumference of a circular path around a circular lawn is 440 m. what is the radius




of the outer circumference of the path, if the path is 14 m wide?

Answer 1

Answer:

Answer is 84cm

Step-by-step explanation:

Inner circumference = 440cm

= 2×22/7×r

440 = 44/7 × r

r = 440 × 7/44

r = 70 cm

Outer circumference = 70cm + 14cm

= 84cm

Answer 2

Answer:

Circumference of outer circular path is 528 m.

Step-by-step explanation:

Circumference of a circle :

• The circumference of a circle is the total length of the outermost side or boundary of a circle. In other words, circumference of a circle is its perimeter.
• The circumference of a circle with centre O and radius r is 2πr.

Given that :

• Inner circumference of circular path = 440 m
• Path width = 14 m

To find :

• Outer circumference of the path

Solution :

• Let, the radius of inner circle of circular path be r. Then,
• Circumference of inner circle = 440m
• 2πr = 440 m

$r = \frac{440}{2π} \\ r = \frac{440 \times 7}{2 \times 22} \\ r = 70 m$

• Inner radius of circular path = 70 m
• Outer radius of circular path, R = (70 + 14)m = 84 m
• Circumference of the outer circular path is

$Circumference = 2πR \\ = 2 \times \frac{22}{7} \times 84 = 528 m.$

• Hence, circumference of outer circular path is 528 m.