Answer:
Radius: 2.5m
Diameter: 5
Circumference: 15.71
Unit: centimeters
The area of a circle with radius 2.5 is 19.63
Formula:
[tex]A = \pi {r}^{2} = \pi( \frac{d}{2} {)}^{2} [/tex]
[tex]A = \frac{ {c}^{2} }{4\pi} \pi = 3.1415[/tex]
A = area
C = circumference or perimeter
r = radius, d = diameter
Solution steps:
Area of a circle in terms of radius:
[tex]A = \pi. {r}^{2} = 314.2. {5}^{2} = 19.63 \: square \: cm \: (*)[/tex]
Area of a circle in terms of diameter:
[tex]A = \pi.( \frac{d}{2} {)}^{2} = 3.14.( \frac{5}{2} {)}^{2} = 3.14.(2.5 {)}^{2} = 19.63 \: square \: cm \: (*)[/tex]
Area of a circle in terms of circumference:
[tex]A = \frac{c ^{2} }{4\pi} = \frac{15.7 {1}^{2} }{4\pi} = \frac{246.8}{(4.3.14)} = \frac{246.8}{12.56} = 19.63 \: square \: cm \: (*)[/tex]
(*) 19.634954084936 cm, exactly or limited to the precision of this calculator (13 decimal places).
Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
Result in another units of area:
A circle of radius = 2.5 or diameter = 5 or circumference = 15.71 cm has an area of:
- 1.963 × 10-9 square kilometers (km²)
- 0.001963 square meters (m²)
- 19.63 square centimeters (cm²)
- 1963 square millimeters (mm²)
- 7.57919 × 10-10 square miles (mi²)
- 0.00234773 square yards (yd²)
- 0.0211296 square feet (ft²)
- 3.04266 square inches (in²)
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