Find the angle sub tended by the chord of 2cm on the major arc of the circle with radius √2cm

Step-by-step explanation:

Since, Here the angle abc is inscribed in arc of circle with Center O,

Also,

⇒ By the Central angle theorem,

Thus, the length of major arc ACB =

90 degree

Step-by-step explanation:

3*m(minor arc)=m(major arc)         (1)

m(minor arc) +  m(major arc)=360   (measure of circle)

from  (1)

4x=360

m(minor arc)=90

answer:

please measure by protector

answer:

the measure of minor arc is X and the measure of major arc is 4×X which is 4X

Arc Measure Definition

An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in radians or degrees, and we can easily convert between each with the formula π radians = 180° π r a d i a n s = 180 ° .

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Measure of major arc ACB = 360 - 130 = 230°

Step-by-step explanation:

Foe better understanding of the solution, see the attached figure of the problem :

Given that the angle ABC is inscribed in arc of circle with center O.

m∠ACB = 65°

Thus, by the central angle theorem which states that the angle formed at the center is twice the angle subtended by the same arc at the circumference of the circle.

⇒ m∠AOB = 2 × m∠ACB

⇒ m∠AOB = 2 × 65°

⇒ m∠AOB = 130°

Now, measure of the major arc ACB can be calculated by subtracting the measure of central angle from a complete angle i.e. 360°

Hence, Measure of major arc ACB = 360 - 130 = 230°

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