Samacheer Kalvi 8th Maths Book Solutions Term 1 Chapter 2 – Measurements are available here. The Samacheer Kalvi 8th Maths book answers of Term 1 Chapter 2, available at BYJU’S, contain step by step explanations designed by our mathematics experts. All these important questions are based on the new pattern prescribed by the Tamil Nadu board. Students can also get the solutions of other chapters on samacheer kalvi 8th maths solutions.
Term 1 Chapter 2 of the Samacheer Kalvi 8th Maths guide will help the students to solve problems related to the parts of a circle, combined shapes, area of combined shapes, three-dimensional shapes, nets of three-dimensional shapes, the cross-section of solid shapes.
Samacheer Kalvi 8th Maths Term 1 Chapter 2: Measurements Book Exercise 2.1 Questions and Solutions
Question 1: A circle of radius 120 m is divided into 8 equal sectors. Find the length of the arc of each of the sectors.
The radius of the circle = 120m
Number of equal sectors = 8
The central angle of each sector = 360o / n
θ = 360o / 8
θ = 45o
Length of the arc = (θ / 360o) * 2𝛑r units
= [45o / 360o] * (2𝛑 * 120)
= 30𝛑 m
Question 2: In front of a house, flower plants are grown in a circular quadrant shaped pot whose radius is 2 feet. Find the area of the pot in which the plants grow. (𝛑 = 3.14).
The central angle of the quadrant = 90o
The radius of the circle = 2 feet
Area of the quadrant = (θ / 360o) * 𝛑r2 units
= (90o / 360o) * 𝛑 * 2 * 2
= 3.14 sq.feet
Question 3: Dhamu fixes a square tile of 30 cm on the floor. The tile has a sector design on it as shown in the figure. Find the area of the sector. (𝛑 = 3 14).
Side of the square = 30cm
The radius of the sector design = 30cm
Area of the quadrant = (1 / 4) 𝛑r2 sq.units
= (1 / 4) * (3.14) * (302)
= 706.5 cm2
Samacheer Kalvi 8th Maths Term 1 Chapter 2: Measurements Book Exercise 2.2 Questions and Solutions
Question 1: Find the perimeter and area of the figure given below.
Length of the arc of the semi-circle = (1 / 2) * (2𝛑r) units
= (22 / 7) * (7 / 2)
Perimeter = 11 + 10 + 7 + 10
Area = Area of the rectangle – Area of semicircle
= (l * b) – (1 / 2) 𝛑r2
= (10 * 7) – (1 / 2) * (3.14) * (7 / 2)2
= 203 / 4
= 50.75 m2
Question 2: The doormat which is in a hexagonal shape has the following measures as given in the figure. Find its area.
Area of the doormat = Area of 2 trapezium
Height of the trapezium = 70 / 2 = 35cm
a = 90cm, b = 70cm
Area of the trapezium = (1 / 2) * h * (a + b)
= (1 / 2) * (35) * (90 + 70)
Question 3: Find the area of the glass painting which has a triangle on a square
as given in the figure.
Area of the glass painting = area of the square + area of the triangle
Side of the square = a = 30cm
Base of the triangle = b = 30cm
Height of the triangle = h = 8cm
Area of the painting = a2 + (1 / 2) * b * h sq.units
= (30 * 30) + (1 / 2) * 30 * 8 cm2
= 1020 cm2
Samacheer Kalvi 8th Maths Term 1 Chapter 2: Measurements Book Exercise 2.3 Questions and Solutions
Question 1: For each solid, three views are given. Identify for each solid, the corresponding top, front and side (T, F and S) views.
Question 2: Which 3-D shapes do the following nets represent?
Solution:[i] The net represents a cube as it has 6 squares. [ii] The net represents a cuboid. [iii] The net represents a triangular prism. [iv] The net represents a square pyramid. [v] The net represents a cylinder.
Question 3: Can a polyhedron have 12 faces, 22 edges and 17 vertices?
By Euler’s formula, F + V – E = 2 for a polyhedron.
F = 12, E = 22, V = 17
F + V – E = 12 + 17 – 22 = 7 ≄ 2
So, the polyhedron cannot have 12 faces, 22 edges and 17 vertices.
Samacheer Kalvi 8th Maths Term 1 Chapter 2: Measurements Book Exercise 2.4 Questions and Solutions
Question 1: Find the area of the house drawing given in the figure.
Area of the house = Area of the square + Area of the rectangle + Area of the triangle + Area of the parallelogram
= (6 * 6) + (8 * 6) + (0.5 * 6 * 4) + (8 * 4) cm2
= 36 + 48 + 12 + 32 cm2
= 128 cm2
Question 2: Draw the top, front and side view of the following solid shapes.
Question 3: Draw the net for the cube of side 4 cm in a graph sheet.