In the given figure, a circular region is divided into 6 equal parts. What fraction of the whole circle is the sector EOD ?

From the above figure, we see that there are six total sectors. Now, we find the fraction of the sector EOD in the whole circle. Total number of sectors = AOB , BOC , COD , DOE , EOF , FOA = 6 Fraction of the sector EOD = 1 Total number of sectors = 1 6 Hence, the required fraction is 1 6 .

In the given figure a circular region is divided into 6 equal parts. ` ` How many times ∠ AOD is of ∠ EOD ?

Given, ` ` The given circle has six sectors. Now, we find the size of ∠ AOD when compared to ∠ EOD . We know that, when a circle is divided into six equal parts or sectors, each angle measures 60 o . Therefore, ∠ AOD = ∠ AOB + ∠ BOC + ∠ COD = 180 o ∠ EOD = 60 o Now, when we compare the above angles, it is clear that the size of ∠ AOD is three times greater when compared to ∠ EOD . Hence, ∠ AOD is greater than ∠ EOD by three times.

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START UP MATHEMATICS>Chapter 4 - Basic Geometric Concepts>REVIEW EXERCISES

Rahul Sofat Solutions for Chapter: Basic Geometric Concepts, Exercise 3: REVIEW EXERCISES

Author:Rahul Sofat

Rahul Sofat Mathematics Solutions for Exercise - Rahul Sofat Solutions for Chapter: Basic Geometric Concepts, Exercise 3: REVIEW EXERCISES

Attempt the free practice questions on Chapter 4: Basic Geometric Concepts, Exercise 3: REVIEW EXERCISES with hints and solutions to strengthen your understanding. START UP MATHEMATICS solutions are prepared by Experienced Embibe Experts.