What is the area of the sector cut out by two rays in a disc with a given area?

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To find the area of the sector defined by two rays in a disc with an area of 60 in², the angle between the rays is 60 degrees. The area of a sector is proportional to its angle, so a 60-degree angle represents 1/6 of the total area of the circle. Thus, the correct area of the sector should be 10 in², as calculated. However, the book incorrectly states that the area is 1 in². This discrepancy suggests an error in the book's calculations regarding the sector's area.
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Homework Statement


Let Rpq be a ray:

.-------.---------------->
p q

draw a second ray Rpm s.t the angle <QPM has 60 degrees

Let D be a disc centered at P and assume its area is 60 in^2. find the area of the sector in the disc cut out by the two rays

Homework Equations

The Attempt at a Solution


I got 10 in^2 my book is telling me 1 in^2.
 
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Book seems wrong. A 60 degree wedge should have 1/6 the area of the circle.
 
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