The measure of a major arc is 270 digere .what is the measure of the corresponding minor arc
Answers
Answer:
The measure of Minor arc is 90°
Step-by-step explanation:
- In context to the given question we have to find the measure of minor arc with the corresponding major arc provided.
- Given: Measure of major arc = 270°
⇒ As we know,
⇒ Minor arc is the arc whose measure is less than 180.
⇒ The measure of a major arc is greater than 180° .
and also,
⇒The measure of a major arc is equal to 360° minus the measure of the minor arc with the same endpoints.
Major arc = 360° - Minor arc [eq. 1]
BY Transposing [eq. 1] we can say that,
Minor arc = 360° - Major arc
By putting the measures, we get
Minor arc = 360° - 270°
Minor arc = 90°
Therefore, The measure of Minor arc is 90°
Answer:
The measure of corresponding Minor arc = 90°
Step-by-step explanation:
Given that measure of major arc = 270°
we need to find minor arc
- the measure of major arc 270° is the angle subtended by major arc at center of the circle
- in the same way the measure of minor arc is the angle subtended by minor arc at center of the circle
- here both arcs are corresponding to each other
then major arc angle + minor arc angle = angle at center
we know that angle at center in a circle = 360°
⇒ major arc angle + minor arc angle = 360°
⇒ 270° + minor arc angle = 360°
⇒ minor arc angle =360° - 270° = 90°
measure of the minor arc = 90°