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 the below fig. ABCD is a trapezium in which AB = 7 cm, AD = BC = 5 cm, DC = x cm,
and distance between AB and DC is 4cm. Find the value of x and area of trapezium ABCD.
In the below fig. X and Y are the mid-points of AC and AB respectively, QP || BC and
CYQ and BXP are straight lines. Prove that ar (Δ ABP) = ar (ΔACQ).
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.
A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangle and parallelogram 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.
Find the area and perimeter of the following parallelograms
Which has the smaller area - two five-rupee notes together or a hundred rupee notes?
Who had the bigger piece? How much bigger?
Find the area of the following figure by counting squares:
Which unit is used to express area?
