Question

A cavriage Wheel makes 1500 revolutions ingoing
.
over a distance of 4.5 kilometers. find its radius
J6Z 3.14 ]
I taking​

Answer 1

★Given :

• No.of.revolutions made = 1500
• Distance = 4.5 kilometers.

★To find :

• Radius

★Solution :

Given that the carriage wheel travels 4.5 km,i.e,4500 m and makes 1500 revolutions.So,the circumference of the wheel will be total distance travelled by the wheel by the revolutions ingoing.

Circumference of circle:

→4500 / 1500

→3m

We know:

✦Circumference = 2πr

And we got circumference = 3m.Therefore,

→3 = 2πr

→r = 3/2π

→r = 3 / (2 × 3.142)

→r = 0.4774m

→r = 47.74 cm

Hence, the radius of the carriage wheel is 47.74 cm.

_____________

Answer 2

Given :-

• No. of revolutions made = 1500
• Dictance = 4.5 kilometres.

To find :-

• Radius ?

Solution :-

• Given that the carriage wheel travels 4.5 km, i.e, 4500 m and makes 1500 revolution. So, the circumference of the wheel will be total distance travelled by the wheel by the revolutions ingoing.

↝$\boxed{\sf{Circumstance~of~the~circle}}$

→ ${\bf{\frac{4500}{1500}}}$

→ 3m

★ We know that ★

Circumference = 2πr

And we got circumstance = 3m

Therefore,

→ 3 = 2πr

→ r = ${\bf{\frac{3}{2π}}}$

→ r = ${\bf{\frac{2}{(2 \: × \: 3.142)}}}$

→ r = 0.4774 m

→ r = 47.74 cm

Hence,

• The radius of carriage wheel is $\boxed{\rm\underline{47.74 cm}}$