मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ९

A chord is 12 cm away from the centre of the circle of radius 15 cm. Find the length of the chord - Mathematics

Advertisements
Advertisements

प्रश्न

A chord is 12 cm away from the centre of the circle of radius 15 cm. Find the length of the chord

बेरीज
Advertisements

उत्तर

Radius of a circle (OA) = 15 cm

Distance from centre to the chord (OC) = 12 cm

In the right ΔOAC,

AC2 = OA2 – OC2

= 152 – 122

= 225 – 144

= 81

AC = `sqrt(81)`

= 9

Length of the chord (AB)

= AC + CB

= 9 + 9

= 18 cm.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Geometry - Exercise 4.3 [पृष्ठ १६९]

APPEARS IN

सामाचीर कलवी Mathematics [English] Class 9 TN Board
पाठ 4 Geometry
Exercise 4.3 | Q 4 | पृष्ठ १६९

संबंधित प्रश्‍न

In Fig. 1, PA and PB are tangents to the circle with centre O such that ∠APB = 50°. Write the measure of ∠OAB.


Prove that there is one and only one tangent at any point on the circumference of a circle.


In the given figure, AB is a chord of length 16 cm of a circle of radius 10 cm. The tangents at A and B intersect at a point P. Find the length of PA.


In the given figure, a triangle ABC is drawn to circumscribe a circle of radius 3 cm such that the segments BC and DC into which BC is divided by the point of contact D, are of
lengths 6cm and 9cm respectively. If the area of 2 ΔABC = 54cm2 then find the lengths of sides AB and AC.


In the given figure, PA and PB are two tangents to the circle with centre O. If ∠APB = 60°  then find the measure of ∠OAB.


In the given figure, if chords AB and CD of the circle intersect each other at right angles, then x + y =


In the given figure, ABC is a right triangle right-angled at B such that BC = 6 cm and AB = 8 cm. Find the radius of its incircle.


A triangle PQR is drawn to circumscribe a circle of radius 8 cm such that the segments QT and TR, into which QR is divided by the point of contact T, are of lengths 14 cm and 16 cm respectively. If area of ∆PQR is 336 cm2, find the sides PQ and PR.


State, if the following statement is true or false:

If the end points A and B of the line segment lie on the circumference of a circle, AB is a diameter.


All the radii of a circle are _______________


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×