Maharashtra State BoardSSC (English Medium) 9th Standard
Advertisement Remove all ads

In the Given Figure, C is the Centre of the Circle. Seg Qt is a Diameter Ct = 13, Cp = 5, Find the Length of Chord Rs. - Geometry

Diagram

In the given figure, C is the centre of the circle. seg QT is a diameter CT = 13, CP = 5, find the length of chord RS.

Advertisement Remove all ads

Solution

Join RC and CS.
Perpendicular drawn from the centre of the circle to the chord bisects the chord. 
So, RP = PS
In Δ RPC,

RP2 + PC2 = RC2

⇒ RP2 + 52 = 132

⇒ RP2 = 169 - 25 = 144

⇒ RP = 12 cm

Thus, RP = PS = 12 cm
So, RS = RP + PS = 12 + 12 = 24 cm.

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×