If a circle of unit radius is divided into tw | vedclass

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(D) Let the first circle be $C_1$ with radius $r_1 = 1$ and center at the origin $(0,0)$.Let the second circle be $C_2$ with radius $r_2$ and center a

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(D) Let the first circle be $C_1$ with radius $r_1 = 1$ and center at the origin $(0,0)$.Let the second circle be $C_2$ with radius $r_2$ and center at $(h,k)$.The arc of $C_2$ subtends an angle of $60^o$ at the circumference of $C_1$.By the inscribed angle theorem,the angle subtended by the same arc at the center of $C_1$ would be $120^o$ if the arc is part of a circle passing through the center,or related to the geometry of the intersection.However,the position of the center of the second circle is not fixed relative to the first circle.Without knowing the distance between the centers or the specific chord length formed by the intersection,the radius $r_2$ cannot be uniquely determined.Thus,the information provided is insufficient to solve for $r_2$.

If a circle of unit radius is divided into two parts by an arc of another circle subtending an angle $60^o$ on the circumference of the first circle,then the radius of the arc is

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