Advertisements
Advertisements
प्रश्न
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)
Advertisements
उत्तर
Given: Here from the given figure we get
(1) PQRS is a rectangle inscribed in a quadrant of a circle with radius 10cm,
(2) PS = 5cm
(3) PR = 13cm(radius of the quadrant)
To find: Area of ΔRAS.
Calculation: In right ΔPSR, (Using Pythagoras Theorem)
`PR^2 = PS^2 + SR^2`
`13^2 = 5^2 + SR^2 `
`SR^2 = 13^2 - 5^2`
`SR^2 = 169-25`
`SR^2 = 144`
`SR = 12` cm
Area of Δ = `1/2 `base × height
Area of ΔRAS = `1/2 ` × base × height
`= 1/2 ` × RS × SP
`= 1/2 × 12 × 5`
`=1/2 × 60`
Area of ΔRAS = 30 cm2
Hence we get the Area of ΔRAS = 30 cm2
APPEARS IN
संबंधित प्रश्न
In Q. No 1, if AD = 6 cm, CF = 10 cm, and AE = 8cm, find AB.
If AD is a median of a triangle ABC, then prove that triangles ADB and ADC are equal in
area. If G is the mid-point of median AD, prove that ar (Δ BGC) = 2 ar (Δ AGC).
ABCD is a parallelogram. P is the mid-point of AB. BD and CP intersect at Q such that CQ: QP = 3.1. If ar (ΔPBQ) = 10cm2, find the area of parallelogram ABCD.
The median of a triangle divides it into two ______.
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.
This stamp has an area of 4 square cm. Guess how many such stamps will cover this big rectangle.
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.
Each line gives a story. You have to choose the question which makes the best story problem. The first one is already marked.
- A shopkeeper has 204 eggs. He puts them in egg trays. Each tray has 12 eggs.
a) How many more eggs will he need? b) How many fresh eggs does he sell? c) How many egg trays does he need?
Find the area of the following figure by counting squares:
Which statement correctly describes how area is determined?
