Grade 10Analytical Geometry
The difference between the area of a regular hexagon of side 72cm and area of its inscribed circle is?
The difference between the area of a regular hexagon of side 72cm and area of its inscribed circle is?
1 Answer
Diameter of the inscribed circle in a regular polygon of n number of side (6, in this case) each of length, s (72 m in this case) = Dic = s*cot(180/n) = 72 *cot(180/6) = 72*cot 30 = 124.7050808 cm
Area of the inscribed circle = Aic = [(22/7)* 124.7050808^2]/4= 97.7142857 sq cm.
Diameter of the circumscribed circle in a regular polygon of n number of side (6, in this case) each of length, s (72 cm in this case) = Doc = s*cosec(180/n) = 72 *cosec(180/6) = 72*cosec 30 = 144 cm
Area of the circumscribed circle = Aoc = [(22/7)* 144^2]/4 = 16286.2857142 sq cm.
Other Related Questions on analytical geometry
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
analytical geometry
Last Activity: 4 Years ago
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
analytical geometry
Last Activity: 4 Years ago
show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0
show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0
analytical geometry
Last Activity: 4 Years ago
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.
analytical geometry
Last Activity: 4 Years ago
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
analytical geometry
Last Activity: 4 Years ago