area of circular sector

14 - Area the goat can graze inside a right triangular lot

Problem
A 30° right triangular lot has the long leg measuring 67 m. On the long leg and 15 m from the short leg, is a peg to which a goat is tied such that the farthest distance its mouth can reach is 30 m from the peg. Find the area inside the lot from which the goat can graze.
 

036-area-graze-by-goat-inside-triangular-lot.gif

 

12 - Circular sector inscribed in a square

Problem 12
A circular sector of radius 10 cm is inscribed in a square of sides 10 cm such that the center of the circle is at the midpoint of one side of the square. Find the area of the sector in cm2.
 

012-sector-inscribed-square_big.gif

 

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