Question

If the circumference of the circle is 352 cm. Then calculate the radius and diameter. (Take π = 22/7).

Answer 1

Question:

If the circumference of the circle is 352 cm. Then calculate the radius and diameter. (Take π = 22/7).

What to find:

The radius and the diameter

Information given in the question:

• The circumference of the circle is 352 cm.
• Take π = 22/7

Solution:

Let,The diameter of the circle be $x$ cm.

Thus,

$\to \frac{22}{7} * x=352$

$\to or, \frac{22x}{7} =352$

$\to or,22x=352 * 7$

$\to or,x=\frac{7 * 352}{22}$

$\to or,x=112$

Used formula:

$\to$Circumference of a circle=$\frac{22}{7} * Diameter$

Check:

$\to$ Daimeter=112cm

$\to$Radius=$\frac{112}{2}$ cm=56cm

Verification:

Diameter=112cm

352=$\frac{22}{7} * 112$ cm

352=22 * 16 cm

352=352 cm

Therefore,L.H.S=R.H.S

Hence,Verified

Answer:

$\left \{ {{Diameter=112cm} \atop {Radius=56cm}} \right.$