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A sector of circle of radius 7.2cm which subtends an angle of…

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A sector of circle of radius 7.2cm which subtends an angle of 300° at the center is used to form a cone. What is the radius of the base of the cone?

  • A. 6cm
  • B. 7cm
  • C. 8cm
  • D. 9cm

QUICK ANSWER…

A

SOLUTION 

To solve this, we’re going to sketch a diagram to understand properly what we’re dealing with.

A sector of circle of radius 7.2cm which subtends an angle of...

From the diagram, we can extract the major sector AOC, and fold it into a cone so that the length of the major arc which subtends 300 degrees at the center becomes the circumference of the cone’s base.

We will then use the circumference of the cone’s base to calculate its radius as required by the question.

A sector of circle of radius 7.2cm which subtends an angle of...

Now for the right answer to the above question:

  1. Option A is correct.
  2. Option B is incorrect.
  3. C is incorrect.
  4. D is not the correct answer.
RELATED!  From the diagram above the value of x is…

QUICK TIPS…

You may please note these/this:

  • To save time in the case of exam conditions, you can observe closely that the radius of the cone must be less than 7.2cm which is the radius of the larger circle from which the cone is to be cut out.

Use the questions and answers session to deal further on this topic…

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/ culled from 2018 JAMB-UTME mathematics question 14 /

A sector of circle of radius 7.2cm which subtends an angle of... » QuizTablet
A sector of circle of radius 7.2cm which subtends an angle of... » QuizTablet

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