1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days
8104911739

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

022-62211530

Mon to Sat - 11 AM to 8 PM

# Q.2. A circular park of radius 25 cm is situated in a colony. three giirls ankita , anvita & goomal are siting on its boundary at equal distances. All the three girls having toy phone to talk with each other connected with string . Find the distance of the string between ankita & anvita ??

Asked by Kunwar Digvijay Singh Tanwar 15th March 2013, 2:18 PM
The girls are sitting on the circumference of the circle and they are equidistant from one another.

radius of the circle = 25cm.
Since they are sitting equidistant from one another, the angle subtended by them at the center would also be same i.e. 360/3 = 180 degree.

Now, consider the circle O with A, B and C representing the 3 girls. Now, angle AOB = BOC = COA = 120 degree.

Join AB. Draw a perpendicular OM from O to AB which intersects AB .
Since, a perpendicular from the center of the circle to a chord bisects it as well as bisects the angle at the center. So, AM = MB and angle AOM = angle MOB = 120/2 = 60.

Now in triangle AOM
sin60 = AM/AO
sqrt(3)/2 = AM/25
AM = 21.65 cm

Hence, AB = 2*AM = 2*21.65 = 43.30cm
So, the length of the string would be 43.30cm.
Answered by Expert 16th March 2013, 5:57 AM
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 10

You have rated this answer /10