Question : A circular arc whose radius is 4 cm makes an angle of 45º at the centre. Find the perimeter of the sector formed. (Take $\pi=\frac{22}{7}$)
Option 1: $\frac{78}{7} \mathrm{~cm}$
Option 2: $\frac{72}{7} \mathrm{~cm}$
Option 3: $\frac{74}{7} \mathrm{~cm}$
Option 4: $\frac{76}{7} \mathrm{~cm}$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: $\frac{78}{7} \mathrm{~cm}$
Solution :
A circular arc whose radius is 4 cm makes an angle of 45° at the centre.
Here, radius($r$) = 4 cm and central angle($\theta$) = 45°.
We know,
The perimeter of the sector in circle = $2\pi r×(\frac{\theta}{360°})$ + 2 × $r$
= $2×\frac{22}{7}×4×\frac{45°}{360°}$ + 8
= $\frac{78}{7} \mathrm{~cm}$
Hence, the correct answer is $\frac{78}{7} \mathrm{~cm}$.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CGL
