The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is__________?
Correct answer: C. 8.75 cm2
- A. 0.35 cm2
- B. 17.5 cm2
- C. 8.75 cm2
- D. 55 cm2
Explanation
For a sector, area = 1/2 × radius × arc length. Therefore the area is 1/2 × 5 cm × 3.5 cm = 8.75 cm². The likely wrong choice is 17.5 cm², which omits the factor 1/2.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Area and Volume
Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.
Practise Geometry
222 free Geometry MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Mathematics questions like this
Mathematics is on 76 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Area and Volume questions
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Which one of the following has a greater perimeter than the rest?
A big rectangular plot of area 4320 Sq.m is divided into 3 square shaped smaller plots by fencing parallel to the smaller side of the plot. However, some area of land was still left as a square plot could not be formed. So 3 more square shaped plots were formed by fencing parallel to the longer side of the original plot. Such that no area of the plot was left a surplus. What are the dimensions of the original plot?
A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
The perimeter of a semi circle is 144 cm then the radius is_________?