Question : The perimeter of a sector of a circle is 24 cm and the radius is 3 cm. Calculate the area (in cm2 ) of the sector.
Option 1: 24
Option 2: 33
Option 3: 27
Option 4: 30
Correct Answer: 27
Solution : Given: The perimeter of a sector of a circle = 24 cm Radius = 3 cm Perimeter of the sector = (2 × radius) + length of the arc ⇒ 24 = (2 × 3) + length of the arc ⇒ Length of the arc = 18 We know that, Area of the sector $=\frac{1}{2}lr=\frac{1}{2}\times18\times3= 27$ cm2 Hence, the correct answer is 27.
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Question : The area of the sector of a circle is 128 cm2. If the length of the arc of that sector is 64 cm, then find the radius of the circle.
Option 1: 4 cm
Option 2: 8 cm
Option 3: 2 cm
Option 4: 16 cm
Question : The area of a sector of a circle of radius 8 cm, formed by an arc of length 4.6 cm, is ____.
Option 1: 6.3 cm2
Option 2: 9.2 cm2
Option 3: 18.4 cm2
Option 4: 12.6 cm2
Question : A right-angled isosceles triangle is inscribed in a semi-circle of radius 7 cm. The area enclosed by the semi-circle but exterior to the triangle is:
Option 1: 14 cm2
Option 2: 28 cm2
Option 3: 44 cm2
Option 4: 68 cm2
Question : What is the area of a triangle having a perimeter of 32 cm, one side of 11 cm, and the difference between the other two sides is 5 cm?
Option 1: $8\sqrt{30}$ cm2
Option 2: $5\sqrt{35}$ cm2
Option 3: $6\sqrt{30}$ cm2
Option 4: $8\sqrt{2}$ cm2
Question : The area of a circle is 1386 cm2. What is the radius of the circle? [Use $\pi= \frac{22}{7}$]
Option 1: 7 cm
Option 2: 14 cm
Option 3: 18 cm
Option 4: 21 cm
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile