The circumference of a circle is [tex]\boxed{26\pi {\text{ cm or 81}}{\text{.70}}}.[/tex]
Further explanation:
The circumference of the circle can be obtained as follows,
[tex]\boxed{{\text{Circumference of circle}} = 2\pi r}[/tex]
Explanation:
The sides of the rectangle are 10 cm and 24 cm.
Consider the radius of the circle as [tex]r[/tex].
Use the Pythagoras Theorem to obtain the radius of the circle.
The radius of the circle can be obtained as follows,
[tex]\begin{aligned}{r^2} &= {5^2} + {12^2}\\{r^2} &= 25 + 144\\{r^2}&= 169 \\ r &= \sqrt {169}\\r&= 13\\\end{aligned}[/tex]
The circumference of the circle can be obtained as follows,
[tex]\begin{aligned}{\text{Circumference}} &= 2\pi r\\&= 2\times \pi \times 13\\&= 26\pi\\&= 26 \times 3.14\\&= 81.70{\text{ cm}}\\\end{aligned}[/tex]
The circumference of a circle is [tex]\boxed{26\pi {\text{ cm or 81}}{\text{.70}}}.[/tex]
Learn more:
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Trigonometry
Keywords: circle, rectangle, circumference, area, circumscribed, inscribed, length of circle, 10 cm, 24 cm, length of rectangle, radius, diameter.
