C-16-Q092mediumsingle_mcq

Area of a regular polygon with $n$ sides each of length $a$ equals —

a $\dfrac{na^{2}}{4}\cot\dfrac{180°}{n}$
b $\dfrac{na^{2}}{2}\tan\dfrac{180°}{n}$
c $na^{2}\cot\dfrac{180°}{n}$
d $\dfrac{a^{2}}{4}\cot\dfrac{180°}{n}$

ব্যাখ্যা

A regular $n$ -gon splits into $n$ congruent isosceles triangles from the centre, each of area $\dfrac{a^{2}}{4}\cot\dfrac{180°}{n}$ . Multiplying by gives the total area .

92/210

এই অধ্যায়ের আরও প্রশ্ন

C-16-Q093Each interior angle of a regular polygon with sides is —
C-16-Q094The half-angle at a vertex of the isosceles triangle formed by joining the centre of a regular -gon to two adj
C-16-Q095The area of a regular pentagon of side cm (use ) is approximately —
C-16-Q096For a regular hexagon, each central angle subtended by a side at the centre is —
C-16-Q097The triangle formed by joining the centre of a regular hexagon to two adjacent vertices is —
C-16-Q098If the distance from centre to vertex of a regular hexagon is m, the area of the hexagon is —
C-16-Q099If each side of a regular hexagon is cm, its area equals —
C-16-Q100If the distance from the centre to a vertex of a regular octagon is m, its area is approximately —
C-16-Q101

180°

cot

n180°

n

\dfrac{na^{2}}{4}\cot\dfrac{180°}{n}

The distance from the centre to any vertex of a regular quadrilateral (square) is cm. Its area is —

C-16-Q102If is the radius of a circle, its circumference is —

Chapter 16: Mensuration — সব প্রশ্ন দেখুন (210টি) →

Area of a regular polygon with nnn sides each of length aaa equals —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

Area of a regular polygon with $n$ sides each of length $a$ equals —