Download App

Area of Circle, Sector and Segment — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsArea of Circle, Sector and Segment3 Marks
Question
Find the radius of a circle whose perimeterter and are are numerically equal.
✓

Answer

let r be the radius of a circle.Then, area of a circle $=\pi\text{r}^2$
Perimeter of a circle $=2\pi\text{r}$
It is given that,
Area of a circle = Perimeter of a circle
$\Rightarrow\pi\text{r}^2=2\pi\text{r}$
$\Rightarrow \text{r}= 2 \text{ units}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Area of Circle, Sector and Segment→Area of Circle, Sector and Segment — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

If $\triangle\text{ABC}\sim\triangle\text{DEF}$ such that $AB = 5cm,$ area $(\triangle\text{ABC}) = 20cm^2 $ and area $(\triangle\text{DEF}) = 45cm^2, $determine $DE.$
→
Evaluate the following:
If A = 30°, verify that:
$\tan2\text{A}=\frac{2\tan\text{A}}{1-\tan^2\text{A}}$
→
Two A.P.s have the same common difference. The first term of one A.P. is $2$ and that of the other is $7$ . The difference between their $10^{\text {th }}$ terms is the same as the difference between their $21^{\text {st }}$ terms, which is the same as the difference between any two corresponding terms. Why?
→
If the point $P(m, 3)$ lies on the line segment joining the points $\text{A}\Big(-\frac{2}{5},6\Big)$ and $B(2, 8)$, find the value of m.
→
The following are quadratic equations in x?
$\text{x}^2-\frac{1}{\text{x}^2}=5$
→
If A (1, -1),B (0, 4),C (-5, 3) are vertices of a triangle then find the slope of each side

→
If point $\mathrm{P}(-4,6)$ divides the line segment $\mathrm{AB}$ with $\mathrm{A}(-6,10)$ and $\mathrm{B}(\mathrm{r}, \mathrm{s})$ in the ratio $2: 1$, find the co-ordinates of $B$.
→
$\mathrm{A}(-3,-4), \mathrm{B}(-5,0), \mathrm{C}(3,0)$ are the vertices of $\triangle \mathrm{ABC}$. Find the co-ordinates of the circumcentre of $\triangle \mathrm{ABC}$.
→
The sums of first n terms of three A.P. S are $S_1, S_2$_ and $S_3.$ The first term of each is 5 and their common differences are $2, 4$ and $6$ respectively. Prove that $S_1 + S_3 = 2S_2.$
→
Prove the following trigonometric identities.
$\frac{\tan\text{A}}{(1+\tan^2\text{A})^2}+\frac{\cot\text{A}}{(1+\cot^2\text{A})}=\sin\text{A}\cos\text{A}$
→