Question

Which of the following is/are correct for a circle having diameter of 10 cm?

• A. Circumference of a circle is $10\pi$ cm
• B. Area of a circle is $25\pi {\text{cm}}^2$
• C. Radius is 5 cm
• D. Circumference of a circle is $5\pi$ cm

Answer 1

Answer: (A), (B), (C)

Radius is 5 cm

Lets draw a circle of diameter 10 cm.

As we know,
Circumference of a circle $=\pi d=\pi \times 10=10\pi$ cm
$\Rightarrow$ Option(a) is Correct.

Raidus = r = $\frac{\text{Diameter}}{2}=\frac{10}{2}=5\text{cm}$
$\Rightarrow$ Option(c) is Correct.

Area of the circle $=\pi {\text{r}}^2=\pi \times 5^2=25\pi {\text{cm}}^2$
$\Rightarrow$ Option(b) is Correct.

Hence, Option (d) is incorrect.