Advertisements
Advertisements
प्रश्न
In the below fig. OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If
OE = 2√5, find the area of the rectangle.
Advertisements
उत्तर
Given OD = 10cm and OE `root (2)(5)cm`
By using Pythagoras theorem
∴ `OD^2 = OE^2 + DE^2`
⇒ `DE = sqrt( OD^2 - OF^2)` = ` sqrt (( 10 )^2 - (root2(5)))^2` = `root 4 (5)cm`
∴ `ar (rect DCDE) = OExx DE = root2( 5) xx root 4 (5 )cm^2`
= `40 cm^ 2 [ ∴ sqrt5 xx sqrt 5 = 5]`
APPEARS IN
संबंधित प्रश्न
Diagonal AC and BD of trapezium ABCD, in which AB || DC, intersect each other at O. The triangle which is equal in area of ΔAOD is
ABCD is a rectangle with O as any point in its interior. If ar (ΔAOD) = 3 cm2 and ar (ΔABOC) = 6 cm2, then area of rectangle ABCD is
A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.
The length and breadth of a rectangular piece of land are in the ratio 5 : 3. If the total cost of fencing it at the rate of ₹24 per meter is ₹9600, find its :
(i) length and breadth
(ii) area
(iii) cost of levelling at the rate of ₹60 per m2.
The side of a square field is 16 m. What will be increase in its area, if each of its sides is doubled?
If each square on this page is equal to 1 square meter of land, how much land will each of her children get? ________ square m
The region given in the following figure is measured by taking 
as a unit. What is the area of the region?
Find the area of the following figure by counting squares:
Find the area of the following figure by counting squares:
What is the area of a closed shape?
