Question:
Let $L$ be an arc of a circle which subtends $45^\circ$ at the centre. If the radius of circle is $4$ cm, then the length of $L$ in centimeter is
Let $L$ be an arc of a circle which subtends $45^\circ$ at the centre. If the radius of circle is $4$ cm, then the length of $L$ in centimeter is
Show Hint
Always convert degrees to radians before using $L = r\theta$.
Updated On: Apr 30, 2026
- $\frac{\pi}{6}$
- $\pi$
- $\frac{\pi}{4}$
- $\frac{\pi}{2}$
- $\frac{\pi}{3}$
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
Arc length formula:
\[
L = r\theta \quad (\theta \text{ in radians})
\]
Step 1: Convert angle to radians
\[ 45^\circ = \frac{\pi}{4} \]
Step 2: Apply formula
\[ L = 4 \times \frac{\pi}{4} = \pi \] Final Conclusion:
Option (B)
Step 1: Convert angle to radians
\[ 45^\circ = \frac{\pi}{4} \]
Step 2: Apply formula
\[ L = 4 \times \frac{\pi}{4} = \pi \] Final Conclusion:
Option (B)
Was this answer helpful?
0
0
Top KEAM Mathematics Questions
- If $\int e^{2x}f' \left(x\right)dx =g \left(x\right)$, then $ \int\left(e^{2x}f\left(x\right) + e^{2x} f' \left(x\right)\right)dx =$
- The value of $ \cos [{{\tan }^{-1}}\{\sin ({{\cot }^{-1}}x)\}] $ is
- The solutions set of inequation $\cos^{-1}x < \,\sin^{-1}x$ is
- Let $\Delta= \begin{vmatrix}1&1&1\\ 1&-1-w^{2}&w^{2}\\ 1&w&w^{4}\end{vmatrix}$, where $w \neq 1$ is a complex number such that $w^3 = 1$. Then $\Delta$ equals
- Let $p : 57$ is an odd prime number, $\quad \, q : 4$ is a divisor of $12$ $\quad$ $r : 15$ is the $LCM$ of $3$ and $5$ Be three simple logical statements. Which one of the following is true?
View More Questions
Top KEAM measurement of angles Questions
Top KEAM Questions
- i.$\quad$ They help in respiration ii.$\quad$ They help in cell wall formation iii.$\quad$ They help in DNA replication iv. $\quad$They increase surface area of plasma membrane Which of the following prokaryotic structures has all the above roles?
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
- The pH of a solution obtained by mixing 60 mL of 0.1 M BaOH solution at 40m of 0.15m HCI solution is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- If $\int e^{2x}f' \left(x\right)dx =g \left(x\right)$, then $ \int\left(e^{2x}f\left(x\right) + e^{2x} f' \left(x\right)\right)dx =$
View More Questions