Let A , B , C be three points on a circle of radius 1 such that angle ACB =(π/4). Then the length of the side AB is

Question

Let A , B , C be three points on a circle of radius 1 such that angle ACB =(π/4). Then the length of the side AB is (A) √3 (B) (4/3) (C) (3/√2) (D) √2

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/a6c3bb010b429e6b907888673fbdf3ef-.png" /> Let O be the centre of the circle In triangle OAB AB =√2 r and r =1 ⇒ AB =√2

Q. Let $A, B, C$ be three points on a circle of radius $1$ such that $∠ A CB = \frac{π}{4}$ . Then the length of the side $A B$ is

$3$

$\frac{4}{3}$

$\frac{3}{2}$

$2$

Let $O$ be the centre of the circle
In $△ O A B$
$A B = 2 r$ and $r = 1$
$\Rightarrow A B = 2$

Q. Let A,B,C be three points on a circle of radius 1 such that ∠ACB=4π​. Then the length of the side AB is

3​

34​

2​3​

2​

Let O be the centre of the circle In △OAB AB=2​r and r=1 ⇒AB=2​

Q. Let $A, B, C$ be three points on a circle of radius $1$ such that $∠ A CB = \frac{π}{4}$ . Then the length of the side $A B$ is

$3$

$\frac{4}{3}$

$\frac{3}{2}$

$2$

Let $O$ be the centre of the circle
In $△ O A B$
$A B = 2 r$ and $r = 1$
$\Rightarrow A B = 2$