...the following angles at the center of a circle of radius 6 : 45°, 120°, 270°, —, —, — . 483 6. A polygon of n sides is inscribed in a circle of...Compute the numerical values if r = 10 and n - 3, 4, 5, 6, 8. 7. Taking the radius of the earth to be 4000 miles, find the difference in latitude of two points...

...following angles at the center of a circle of radius 6 : 45°, 120°, 270°, —, —, — • 483 6. A polygon of n sides is inscribed in a circle of...Compute the numerical values if r = 10 and n = 3, 4, 5, 6, 8. 7. Taking the radius of the earth to be 4000 miles, find the difference in latitude of two points...

...two sides and the included angle are given, it being assumed that the angle is acute. 2. A regular polygon of n sides is inscribed in a circle of radius r. Derive a formula giving the perimeter of this polygon. Also derive a formula giving its area. 3. A...

...polygon of 20 sides, expressing this difference as a fraction of the area of the circle. 12. A regular polygon of n sides is inscribed in a circle of radius r. Prove that its perimeter is 2nr sin - and its area is ... 2* n inr2 sm — . n SURVEYING PROBLEMS In...

...circle. „_ . 360° . 180° aa Then, 8m^_ = sm_r = -^r = _ and 180° A' D В Problem 2. A regular polygon of n sides is inscribed in a circle of radius r; find the length of each side of the polygon. Solution: Using the same notation as in Problem 1, о , , __ 180° r = „...

...Find the radius of a circle if a chord of length I subtends an angle в at the centre. 6. A regular polygon of n sides is inscribed in a circle of radius r. What is the angle subtended at the centre by a side of the polygon ? What is the perimeter of the polygon...