Chords that are equidistant from the center of the circle

Asked by admin @ 04/08/2021 in Math viewed by 268 People

Chords equidistant from the centre of the circle are equal in length

Answered by admin @ 04/08/2021

To Prove: AB = CD

Construction: Join OA and OC.

Proof:

OL ⊥ AB

⇒AL = BL [ Since, the ⊥cular from the centre of a circle to a chord bisects the chord ]

and, OM ⊥ CD

⇒ CM = DM [ Since, the ⊥cular from the centre of a circle to a chord bisects the chord

=> OA=OC (Common hypotenuse)

Therefore..♢ALO ~= ♢CMO( SSS rule)

NOW....AL=CM (C.P.C.T)

AND 2AL=2 CM

Therefore..AB=CD (Hence, Proved)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

A chord that passes through the center of the circle

Asked by admin @ 02/08/2021 in Math viewed by 316 persons

Chord that passes through the center of a circle is called a

A chord that passes through the center of a circle

Asked by admin @ 02/08/2021 in Math viewed by 264 persons

Chord that passes through the center of a circle is called a

Equal chords of a circle are equidistant from centre

Asked by admin @ 23/08/2021 in Math viewed by 286 persons

Proof that equal chords are equidistant from the centre

How to identify the center and radius of the circle

Asked by admin @ 03/12/2021 in Mathematics viewed by 335 persons

Identify the center and the radius of a circle with equation (x-4)^2+(y+2)^2=9

Finding center and radius of a circle from an equation

Asked by admin @ 07/11/2021 in Mathematics viewed by 295 persons

Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below. Use the distance formula to determine …

Unit 10 circles homework 3 chords and arcs answer key

Asked by admin @ 28/10/2021 in Mathematics viewed by 1237 persons

please solve the question. unit 10: circles homework 2: Central angles, arc measures, and arc length.

An angle whose vertex is the center of a circle

Asked by admin @ 12/10/2021 in Mathematics viewed by 304 persons

An angle whose vertex is at the center of a circle is a middle angle of that circle. A. True B. False

Diameter is the longest chord of a circle

Asked by admin @ 31/08/2021 in Math viewed by 321 persons

The diameter is the longest chord of a circle True or False

A chord of a circle of radius 12cm

Asked by admin @ 29/08/2021 in Math viewed by 291 persons

A chord of circle of radius 12cm subtends an angle of 120degree at the centre. Find the area of the corresponding segment of the circle.

If two equal chords of a circle intersect

Asked by admin @ 26/08/2021 in Math viewed by 325 persons

If two equal chords of a circle intersect within the circle , prove that the segments of one chord are equal to the corresponding segments of the other chord.

The longest chord of a circle is called

Asked by admin @ 25/08/2021 in Math viewed by 265 persons

What is the longest chord of a circle called?

A chord of a circle of radius 10cm

Asked by admin @ 25/08/2021 in Math viewed by 349 persons

A chord of circle of radius 10 cm subtends a right angle at the centre.Find the area of the corresponding minor segment and hence find the area of the major …