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
D is the mid-point of side BC of ΔABC and E is the mid-point of BD. if O is the mid-point
of AE, prove that ar (ΔBOE) = `1/8` ar (Δ ABC).
In square ABCD, P and Q are mid-point of AB and CD respectively. If AB = 8cm and PQand BD intersect at O, then find area of ΔOPB.
Two parallelograms are on the same base and between the same parallels. The ratio of their areas is
The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is ______.
ABCD is a trapezium in which AB || DC. If ar (ΔABD) = 24 cm2 and AB = 8 cm, then height of ΔABC is
Find the area of a rectangle whose length and breadth are 25 m and 16 cm.
Altogether how many squares can be arranged on it?
Who had the bigger piece? How much bigger?
Nasreena is a farmer who wants to divide her land equally among her three children — Chumki, Jhumri, and Imran. She wants to divide the land so that each piece of land has one tree. Her land looks like this.
- Can you divide the land equally? Show how you will divide it. Remember each person has to get a tree. Colour each person’s piece of land differently.
The region given in the following figure is measured by taking 
as a unit. What is the area of the region?
