alleryFind the length of an arc of angle 60° in a circle of radius 21 cm. (Take π = 22/7)
- 11 cm
- 22 cm
- 66 cm
- 44 cm
Show answer and solution
Correct answer: B. 22 cm
Arc is one sixth of the circumference: 2 × 22/7 × 21 / 6 = 22 cm.
SSC CGL Surface Areas and Volumes — practice questions — page 3
Explore 71 free Surface Areas and Volumes questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 61–71 of 71.
Find the length of an arc of angle 60° in a circle of radius 21 cm. (Take π = 22/7)Read the answer and worked solution →What is the ratio of a circle's circumference to its radius?Read the answer and worked solution →Of all plane shapes with the same perimeter, which encloses the largest area?Read the answer and worked solution →A wheel has diameter 70 cm. How far does it travel in 100 full turns? (Take π = 22/7)Read the answer and worked solution →Sides 9 cm, 10 cm and 17 cm form a triangle. What is its semi-perimeter?Read the answer and worked solution →Who is credited with the formula for a triangle's area from its three sides?Read the answer and worked solution →A rectangle has perimeter 46 cm and length 15 cm. What is its area?Read the answer and worked solution →A room 6 m by 4 m is paved with square tiles of side 50 cm. How many tiles are needed?Read the answer and worked solution →A circular park of radius 14 m has a 7 m wide path around it. What is the path's area? (Take π = 22/7)Read the answer and worked solution →A triangle has area 84 cm² and base 14 cm. What is its height?Read the answer and worked solution →What is the length of the space diagonal of a cube of edge 6 cm?Read the answer and worked solution →
Worked practice questions
What is the ratio of a circle's circumference to its radius?
- π
- 2π
- 4π
- π/2
Show answer and solution
Correct answer: B. 2π
Circumference is 2πr, so dividing by r gives 2π.
Of all plane shapes with the same perimeter, which encloses the largest area?
- Regular hexagon
- Circle (round disc)
- Equilateral triangle
- Square or rectangle
Show answer and solution
Correct answer: B. Circle (round disc)
The circle has the largest area for a given perimeter, a case of the isoperimetric inequality.
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