Download App

Areas Related to a Circle — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsAreas Related to a Circle1 Mark
MCQ
If the difference between the circumference and radius of a circle is $37\ cm, $ then using $\pi=\frac{22}{7}$ the circumference $($in $\ cm)$ of the circle is :
  • A
    $154$
  • ✓
    $44$
  • C
    $14$
  • D
    $7$
✓

Answer

Correct option: B.
$44$
We know that circumference; $C$ of the circle with radius $r$ is equal to $2\pi\text{r}$
We have given difference between circumference and radius of the citcle that is $37\ cm,$
$\therefore\text{C}-\text{r}=2\pi\text{r}-\text{r}$
$\therefore(2\pi-1)\text{r}=37$
Substituting we $\pi=\frac{22}{7}$ get,
$\therefore\Big(2\times\frac{22}{7}-1\Big)\text{r}=37$
$\therefore\Big(\frac{44-7}{7}\Big)\text{r}=37$
$\therefore\Big(\frac{37}{7}\Big)\text{r}=37$
Dividing both sides of the equation by $\frac{7}{37},$ we get,
$\therefore\text{r}=7$
Threfore, circumference of the circle will be
$2\pi\text{r}=2\times\frac{22}{7}\times7$
$=44\text{ cm}^2$
Hence, the correct choice is $(b).$

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 "M.C.Q (1 Marks)" from Areas Related to a Circle→Areas Related to a Circle — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

The length of shadow of a tower on the plane ground is $\sqrt{3}$ times the height of the tower. The angle of clevation of sum is
→
The pair of linear equations $3x + 2y = 5$ and $2x - 3y = 7$ are :
→
The length of an arc of the sector of angle $\theta^\circ$ of a circle with radius $R$ is :
→
If two zeroes of the cubic polynomial $f(x)=a x^3+b x^2+c x+d$ are each equal to zero, then third zero is
→
The point $P$ which divides the line segment joining the points $A(2,- 5)$ and $B(5, 2)$ in the ratio $2 : 3$ lies in the quadrant :
→
If two zeroes of the polynomial $x^3+x^2-9 x-9$ are $3$ and $-3,$ then its third zero is :
→
$a$ and $b$ are two positive integers such that the least prime factor of $a$ is $3$ and the least prime factor of $b$ is $5$. Then, the least prime factor of $(a + b)$ is :
→
A die is thrown once. The probability of getting an even number is:
→
Choose the correct answer from the given four options : A metallic spherical shell of internal and external diameters $4\ cm$ and $8\ cm,$ respectively is melted and recast into the form a cone of base diameter $8\ cm.$ The height of the cone is :
→
In a single throw of a pair of dice, the probability of getting the sum as a perfect square is
→