Question

3) In a circle with centre O, the
measure of a minor arc is 100°. The
measure of the major arc will be​

Answer 1

Step-by-step explanation:

Since we have given that

Measure of minor arc = 100°

We need to find the measure of major arc.

As we know that

Measure of minor arc + Measure of major arc = 360°

So, it becomes

\begin{gathered}100^\circ+\text{Measure of major arc}=360^\circ\\\\\text{Measure of major arc}=360^\circ-100^\circ\\\\\text{Measure of major arc}=260^\circ\end{gathered}

100

∘

+Measure of major arc=360

∘

Measure of major arc=360

∘

−100

∘

Measure of major arc=260

∘

Hence, the required measure is 260°.