Perimeter and Area of Plane Figures
A plane figure is made of line segments or arcs of curves in
a plane. It is a closed figure if the figure begins and ends at the same point.
We are familiar with plane figures like squares, rectangles, triangles and
circles.
Definition of Perimeter:
The perimeter (P) of a closed plane figure is the sum of the
lengths of its bounding sides (line segments or arcs). Perimeter is measured in
units of length such as centimetre (cm) and metre (m).
Definition of Area:
The area (A) of a closed plane figure is the region of the
plane enclosed by the figure’s boundary. Area is measured in square units of
length such as square centimetre (cm\(^{2}\)) and square metre (m\(^{2}\)).
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Here we will solve different types of problems on finding the area and perimeter of combined figures. 1. Find the area of the shaded region in which PQR is an equilateral triangle of side 7√3 cm. O is the centre of the circle. (Use π = \(\frac{22}{7}\) and √3 = 1.732.)
Here we will discuss about the area and perimeter of a semicircle with some example problems. Area of a semicircle = \(\frac{1}{2}\) πr\(^{2}\) Perimeter of a semicircle = (π + 2)r. Solved example problems on finding the area and perimeter of a semicircle
Here we will discuss about the area of a circular ring along with some example problems. The area of a circular ring bounded by two concentric circle of radii R and r (R > r) = area of the bigger circle – area of the smaller circle = πR^2  πr^2 = π(R^2  r^2)
Here we will discuss about the area and circumference (Perimeter) of a circle and some solved example problems. The area (A) of a circle or circular region is given by A = πr^2, where r is the radius and, by definition, π = circumference/diameter = 22/7 (approximately).
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9th Grade Math
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