Question : An arc of length 23.1 cm subtends an 18° angle at the centre. What is the area of the circle?
$\mathrm{[Use ~\pi=\frac{22}{7} ]}$
Option 1: 16978.50 cm2
Option 2: 16988.50 cm2
Option 3: 16878.50 cm2
Option 4: 16798.50 cm2
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 16978.50 cm 2
Solution :
Arc length = 23.1 cm
⇒ $\frac{\theta}{360^{\circ}}× 2\pi r$ = 23.1
⇒ $\frac{18^{\circ}}{360^{\circ}}× 2\pi r$ = 23.1
⇒ $r=73.5$ cm
Area of circle = $\pi$r$^{2}$ = ${\frac{22}{7}}\times{73.5}\times{73.5}$ = 16978.50 cm$^{2}$.
Hence, the correct answer is 16978.50 cm
2
.
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 “”.
