Math, asked by nitishah, 4 months ago

The measure of a major arc is 270 digere .what is the measure of the corresponding minor arc​

Answers

Answered by Devkumarr
3

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°

Answered by Syamkumarr
1

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°

         

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