Mensuration:
Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.
Plane Figure: A figure which lies in a plane is called a plane figure.
For e.g: a rectangle, square, a rhombus, a parallelogram, a trapezium.
Perimeter:
The perimeter of a closed plane figure is the total length of its boundary.
In case of a triangle or a polygon the perimeter is the sum of the length of its sides.
Unit of perimeter is a centimetre (cm), metre(m) kilometre(km) e.t.c
Area: The area of the plane figure is the measure of the surface enclose by its boundary.
The area of a triangle are a polygon is the measure of the surface enclosed by its sides.
A square centimetre (cm²) is generally taken at the standard unit of an area. We use square metre (m²) also for the units of area.
Circumference of a circle is the perimeter of a circle.
In a circle the radius is half of the diameter.
The approximate value of π( Pi) is= 22/7
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Answer:
Length of diagonal of picture = 15.30 inches
Step-by-step explanation:
Given that:
Side lengths of picture frame = 12 inches by 9.5 inches
As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.
Using Pythagorean theorem;
a²+b²=c²
Putting the values in the theorem
Taking square root on both sides
Hence,
Length of diagonal of picture = 15.30 inches
Answer:
A
Step-by-step explanation:
An excluded value is any value of x that makes the denominator of the rational expression zero as this would make the expression undefined.
For expression A
The denominator will be zero when x² - 4 = 0
x² - 4 is a difference of squares, thus
(x - 2)(x + 2) = 0
x - 2 = 0 ⇒ x = 2
x + 2 = 0 ⇒ x = - 2
The excluded values of x are x = ± 2 ⇒ A