CBSE Class 10CBSE
Share
Notifications

View all notifications

Find the Length of a Tangent Drawn to a Circle with Radius 5cm, from a Point 13 Cm from the Center of the Circle. - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

Find the length of a tangent drawn to a circle with radius 5cm, from a point 13 cm from the center of the circle.

Solution

Consider a circle with center O.

OP = radius = 5 cm.

A tangent is drawn at point P, such that line through O intersects it at Q, OB = 13cm.

Length of tangent PQ = ?

A + P, we know that tangent and radius are perpendicular.

Δ๐‘‚๐‘ƒ๐‘„ is right angled triangle, ∠OPQ = 90°

๐ต๐‘ฆ ๐‘๐‘ฆ๐‘กโ„Ž๐‘Ž๐‘”๐‘œ๐‘Ÿ๐‘Ž๐‘  ๐‘กโ„Ž๐‘’๐‘œ๐‘Ÿ๐‘’๐‘š, ๐‘‚๐‘„2 = ๐‘‚๐‘ƒ2 + ๐‘ƒ๐‘„2

⇒ 132 = 52 + ๐‘ƒ๐‘„2

⇒ ๐‘ƒ๐‘„2 = 169 − 25 = 144

⇒ PQ =` sqrt(144)` = 12๐‘๐‘š

Length of tangent = 12 cm

  Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [1]

Solution Find the Length of a Tangent Drawn to a Circle with Radius 5cm, from a Point 13 Cm from the Center of the Circle. Concept: Circles Examples and Solutions.
S
View in app×