The circumference of the circle is 176cm.Find the diameter.

Circumference of a circle.

C = \$2 \pi r\$

Substitute \$22/7\$ for \$pi\$ and 176 for C.

176 = \$2\timesfrac(22)(7)\timesr\$

Cancel out common factor.

\$\cancel{16}^176\$ = \$2\times\cancel{22}^2/7\timesr \$
16 = \$2\times\frac(2)(7)\timesr\$
\$\cancel{16}^8\$ = \$2\times\cancel{2}^1/7\timesr\$
8 = \$2\times\frac(1)(7)\timesr\$
\$\cancel{8}^4\$ = \$\cancel{2}^1\times\frac(1)(7)\timesr\$
4 = \$\frac(1)(7)\timesr\$

Multiply.

4 = \$\frac(1)(7)\timesr\$
r = \$7\times4\$
r = 28

Diameter.

d = 2r

Substitute 28 for r.

d = \$2\times(28)\$

Multiply.

d = \$2\times(28)\$
d = 56

Answer

The diameter is \$56cm\$.