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 the radius of a circle is $37 \ cm,$ then using $\pi = \frac{22}{7},$ the circumference $($in $\ cm)$ of the circle is :
  • A
    $154$
  • B
    $14$
  • ✓
    $44$
  • D
    $7$
✓

Answer

Correct option: C.
$44$
Circumference of the circle $2\times\text{pi}\times\text{r}$
$=\frac{2\times22}{7\times\text{r}}=\frac{44\times\text{r}}{7}$
Where $r =$ radius
Now,
Given difference $= 37$
$\frac{44\times\text{r}}{7-\text{r}}=37$
$\text{f}\Big\{\big(\frac{44}{7}\big)\Big\}=37$
$\text{r}\big(\frac{37}{7}\big)=37\text{ cm}$
$\text{r}=7$
Circumference of the circle $= 2 \times pi \times r$
$=2\times\big(\frac{22}{7}\big)\times7$
$=44\text{ cm}$

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

If $A(x, 2), B(-3,-4)$ and $C(7,-5)$ are collinear, then the value of $x$ is
→
If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is
→
In a right triangle $\text{ABC},$ right angled at $B, BC = 12\ cm$ and $AB = 5\ cm$. The radius of the circle inscribed in the triangle is :
→
If $\triangle A B C$ and $\triangle D E F$ are similar such that $2 A B=D E$ and $B C=8 cm$, then $E F=$
→
Choose the correct answer from the given four options. If $\sin A + \sin^2 A = 1,$ then the value of the expression $(\cos^2A + \cos^4A)$ is :
→
The area of the triangle formed by the lines x = 3, y = 4 and x = y is:
→
The circular ends of a bucket are of radii $35\ cm$ and $14\ cm$ and the height of the bucket is $40\ cm$. Its volume is:
→
In a right triangle ABC right-angled at B, if P and Q are points on the sides AB and AC respectively, then:
→
The circumference of a circle is equal to the sum of the circumference of two circles having diameters $36\ cm$ and $20\ cm$. The radius of the new circle is :
→
The radius $($in $\ cm)$ of the largest right circular cone that can be cut out from a cube Of edge $4.2 \ cm$ is
→