Math, asked by nikirawal2007, 5 months ago

2.6. Find the area of regular polygon whose side and radius of inscribed
circle is given:
a =6cm n=5cm r= 5cm​

Answers

Answered by dollymorning430
1

Answer:

Area of a polygon of n sides

= n × (area ∆OAB) = n × ¹/₂ × AB × OL

= (ⁿ/₂ × a × r)

Now, A = 12 nar ⇔ a = 2Anr ⇔ na = 2Ar

⇔ Perimeter = 2Ar

From right ∆OLB, we have:

OL² = OB² - LB² ⇔ r² = {R² - (ᵃ/₂)²}

⇔ r = √(R² - (a²/4)

Therefore, area of the polygon = {n/2 × a × √(R² - a²/4) square units.

In area of a polygon some of the particular cases such as;

Similar questions