Ascent TANCET Classes

Geometry Question : Sectors & Circles

This quantitative reasoning practice question is geometry question. Concept tested: Computing area of a sector of a circle if the angle subtended at the center of the circle and the radius of the circle are known.


Find the area of the sector covered by the hour hand after it has moved through 3 hours if the length of the hour hand is 7cm.

  1. 77
  2. 38.5
  3. 35
  4. 70

  Correct Answer      Choice (2). The area covered by the hour had is 38.5

Explanatory Answer

If the hour hand moved through 12 hours, it subtends 3600 at the centre of the clock.
i.e., in 12 hours it makes 3600.

Therefore, in 3 hours it makes \\frac{3}{12}) x 360 = 900

The length of the hour hand is the radius of the circle.
We know that length of the hour hand = 7 cm. i.e., the radius of the circle is 7 cm.

Therefore, area of sector = \\frac{90^0}{360^0}) x π r2 = \\frac{1}{4}) x \\frac{22}{7}) x 7 x 7 = 38.5

  The correct answer is Choice (2).

Online TANCET MBA Course
Try it Free!

Register in 2 easy steps and start learning in 5 minutes!

★ Sign up for Free

Already have an Account?

★ Login to Continue

TANCET MBA Coaching in Chennai

Next Weekend Batch
Starts Sun, Oct 20, 2019

★ TANCET Class Info

XAT TANCET Practice Questions - Listed Topic wise

Contact Us

Ascent Education
14B/1 Dr Thirumurthy Nagar I Street
Nungambakkam, Chennai 600 034
E mail:
Phone: +91 44 4500 8484
Mobile: +91 96000 48484