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
ABCD is a parallelogram whose diagonals intersect at O. If P is any point on BO, prove
that: (1) ar (ΔADO) = ar (ΔCDO) (2) ar (ΔABP) = ar (ΔCBP)
PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 cm. A is any point on PQ. If PS = 5 cm, then find ar (ΔRAS)
Let ABC be a triangle of area 24 sq. units and PQR be the triangle formed by the mid-points of the sides of Δ ABC. Then the area of ΔPQR is
In the given figure, ABCD and FECG are parallelograms equal in area. If ar (ΔAQE) = 12 cm2, then ar (||gm FGBQ) =
The sides of a rectangular park are in the ratio 4 : 3. If its area is 1728 m2, find
(i) its perimeter
(ii) cost of fencing it at the rate of ₹40 per meter.
The side of a square field is 16 m. What will be increase in its area, if each of its sides is doubled?
What is the area of the rectangle? ________ square cm
Measure the length of the floor of your classroom in meters. Also, measure the width.
- What is the area of the floor of your classroom in square metres?
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
How will you decide? Discuss.
