Question

Construct a segment of a circle on a chord of length 5cm containing the angle of 90

Answer 1

draw a circle and draw a line 5 cm and put the protector 90 Degrees i hope it is useful

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 $90\ degree$ angle.

Following steps:

• Draw a line segment $AB=5\ cm$

• 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.