Question

Construct a segment of a circle on a chord of length 5cm containing 45 degree angle

Answer 1

draw a circle of measurement is 360
lenth of chord 5cm draw
contaning 45°angle
then our consrution of circle is ready

Answer 2

$AB$ is the chord of the circle as shown in figure.

Step-by-step explanation:

Given,

Construct a segment of a circle on a chord of length $5\ cm$ containing $45\ degree$ angle.

Following steps:

• Draw a line segment $5\ cm$

• Both at point $A$ and $B$, draw $45\ degree$  angle each (by drawing angle $90\ degree$ each first and then drawing the bisectors $AO$ and $BO$ from $A$ and $B$ respectively.)
• $AO$ and $BO$ meet at $O$ which is the center of the circle, hence $\angle AOB=90\ degree$

• Now, $OA$ as a radius,draw an arc connecting $A$ and $B$. So, The shaded region is the required segment on the cord $AB=5\ cm$. Containing  $\angle AOB=90\ degree$ at the center.

Now, $AB$ is the chord of the circle as shown in figure.