wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A line segment AB is of length 5 cm. Draw a circle of radius 4 cm passing through A and B. Can you draw a circle of radius 2 cm passing through A and B? Give reason in support of your answer.

Open in App
Solution

Steps of Construction :

(i) Draw a line segment AB=5 cm.

(ii) Draw a perpendicular besector of AB.

(iii) With center A and radius 4 cm, draw an arc which intersects the perpendicular bisector at O.

(iv) With center O and radius OA draw a circle.

No, we cannot draw a circle of radius 2 cm passing through A and B because when we draw an arc of radius 2 cm with center A, the arc will not intersect the perpendicular bisector and we will not find the center.

i.e., 2+2=4 cm is shorter than 5 cm.


flag
Suggest Corrections
thumbs-up
85
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circles and Their Chords - Theorem 3
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon