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

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

Fill in the blank:

A point whose distance from the centre of a circle is greater than its radius lies in ..................... of the circle.


In the given figure ABC is an isosceles triangle and O is the centre of its circumcircle. Prove that AP bisects angle BPC .


In the above figure, seg AB is a diameter of a circle with centre P. C is any point on the circle.  seg CE ⊥ seg AB. Prove that CE is the geometric mean of AE and EB. Write the proof with the help of the following steps:
a. Draw ray CE. It intersects the circle at D.
b. Show that CE = ED.
c. Write the result using the theorem of the intersection of chords inside a circle. d. Using CE = ED, complete the proof. 


Construct a triangle PQR with QR = 5.5 cm, ∠Q = 60° and angle R = 45°. Construct the circumcircle cif the triangle PQR.


Construct a triangle XYZ in which XY = YZ= 4.5 cm and ZX = 5.4 cm. Draw the circumcircle of the triangle and measure its circumradius.


Find the missing values in the following table for the circles with radius (r), diameter (d) and Circumference (C).

radius (r) diameter (d) Circumference (C)
  24 m  

If O is the center of the circle in the figure alongside, then complete the table from the given information.


The type of arc

Type of circular arc Name of circular arc Measure of circular arc
Minor arc    
Major arc    

In the following figure, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to ______.


If two chords AB and CD of a circle AYDZBWCX intersect at right angles (see figure), prove that arc CXA + arc DZB = arc AYD + arc BWC = semi-circle.


Is every diameter of a circle also a chord?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×