Question

If D is amid point of a chord AB of a circle with centre O then LODA is

Answer 1

$\huge\underline\bold{Given:}$

$\textbf{D is the mid - point of a chord AB}$
$\textbf{O is the centre of the circle}$

$\huge\underline\bold{To~Calculate:}$

$\textbf{Measure of angle ODA}$

$\huge\underline\bold{Calculation:}$

$\textbf{Since D is the mid point of AB so,}$

$\textbf{OD is perpendicular to chord AB ---- A line through the centre of a circle on a chord if bisects it then it is also perpendicular to it}$

$\textbf{Therefore,}$

$\textbf{angle ODA = angle ODB = 90 °}$

$\textbf{Hence,}$

$\textbf{angle ODA = 90 °}$

$\Huge\underline\bold{Remember:}$

Always write reasons for the statement you write in such questions.

Answer 2

Answer:

90

Step-by-step explanation:

answer is 90 degree as it is perpendicular