Question

A rectangle with one side 4cmis inscribed in a circle of radius 2•5cm.find the area of rectangle.

Answer 1

here is the answer for your question

Given, rectangle ABCD is inscribed in a circle of radius 2.5 cm

Let AB = 4 cm



Now, OA = OC = 2.5 cm [Radius of circle]

⇒ AC = OA + OC = 2.5 + 2.5 = 5 cm

In right triangle ABC, by Pythagoras theorem

(AC)2 = (AB)2 + (BC)2

⇒ 52 = 42 + (BC)2

⇒ BC2 = 25 – 16 = 9

⇒ BC = 3 cm

∴ Area of rectangle = AB × BC = 4 × 3 = 12 cm2

Answer 2

5cm^2

A triangle =1/2×bxh=5^2