Home
Class 10
MATHS
In the figure, in a circle with centre O...

In the figure, in a circle with centre O, length of chord AB is equal to the radius of the circle. Find measure of each of the following.
`/_AOB`

Text Solution

Verified by Experts

Seg OA `cong` seg OB`" ""………"(" Radii of the same circle ")`
chord AB is equal to radius`" " "…….."(" Given ")`
`:. Seg AB cong seg OA cong seg OB`
`:. triangle AOB` is equoilateral
`:. /_AOB=60^(@)" " "…….."(" Angle of an equilateral triangle ")`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.5|6 Videos

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PROBLEM SET 3|50 Videos

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.3|3 Videos

  • CHALLENGING QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION 3 (MODEL QUESTION PAPER FOR PRACTICE ) Solve any one of the following subquestions :|1 Videos

  • COORDINATE GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignment 6.5|13 Videos

Similar Questions

Explore conceptually related problems

In the figure , in a circle with centre O, length of chord AB is equal to the radius of the circle. Find the measure of each of the following : (1) /_ AOB (2) /_ ACB (3) arc AB (4) arc ACB

In the adjoining figure, O is the centre of the circle. If the chord AB is equal to the radius of the circle, then find the value of angleADB .

Knowledge Check

  • If the length of a chord AB is equal to the radius OA of the circle, then angleABO equals (O is the center)

    A
    `120^(@)`
    B
    `60^(@)`
    C
    `45^(@)`
    D
    `30^(@)`

  • AB is a diameter of a circle with centre O. CD is a chord equal to the radius of the circle. AC and BD are produced to meet at P. Then the measure of angle APB is:

    A
    `120^@`
    B
    `30^@`
    C
    `60^@`
    D
    `90^@`

  • AB is a chord in a circle with centre O. AB is produced to C such that BC is equal to the radius of the circle. C is joined to O and produced to meet the circle at D. If angle ACD = 32^@ , then the measure of angle AOD is .......

    A
    `48^@`
    B
    `96^@`
    C
    `108^@`
    D
    `80^@`

    • Similar Questions

    Explore conceptually related problems

    In a circle with centre O and radius 5cm,AB is a chord of length 5sqrt(3)cm. Find the area of sector AOB.

    AB is diameter of a circle with centre 'O'. CD is a chord which is equal to the radius of the circle. AC and BD are extended so that they intersect each other at point P. Then find the value of angleAPB .

    In given figure, O is the centre of the circle. A chord, which is not the diameter of the circle is

    In the given figure, O is the centre of the circle. Name a chord, which is not the diameter of the circle.

    Given a circle with centre O and radius 2.5cm, what is the length of the longest chord of the circle

    Home
    Profile