Finding the Area of a Circle with a Given Circumference

Given:

• Circumference (C): 33 cm
• Formula for Circumference: $C=2\pi rC\; =\; 2\; \backslash pi\; r$C=2πr

Steps to Solve

1. Find the Radius:

   $r=\frac{33}{2\times 3.14}\approx 5.25\hspace{0.17em}cmr\; =\; \backslash frac\{33\}\{2\; \backslash times\; 3.14\}\; \backslash approx\; 5.25\; \backslash ,\; \backslash text\{cm\}$r=2×3.1433​≈5.25cm

2. Calculate the Area:

   $A=\pi r^2=3.14\times (5.25{)}^2\approx 86.59\hspace{0.17em}{2}^{}A\; =\; \backslash pi\; r^2\; =\; 3.14\; \backslash times\; (5.25)^2\; \backslash approx\; 86.59\; \backslash ,\; \backslash text\{cm\}^2$A=πr2=3.14×(5.25)2≈86.59cm2

Answer

The area of the circle is approximately 86.59 cm².