Samacheer Kalvi solutions for Mathematics [English] Class 8 TN Board chapter 2 - Measurements [Latest edition]

The ratio between the circumference and diameter of any circle is _______

A line segment which joins any two points on a circle is a ___________

The longest chord of a circle is __________

The radius of a circle of diameter 24 cm is _______

A part of circumference of a circle is called as _______

Match the following:

Find the central angle of the shaded sectors (each circle is divided into equal sectors).

Sectors
Central angle of each sector (θ°)

For the sectors with given measures, find the length of the arc, area and perimeter. (π = 3.14)

central angle 45°, r = 16 cm

For the sectors with given measures, find the length of the arc, area and perimeter. (π = 3.14)

central angle 120°, d = 12.6 cm

From the measures given below, find the area of the sectors.

Length of the arc = 48 m, r = 10 m

From the measures given below, find the area of the sector.

length of the arc = 50 cm, r = 13.5 cm

Find the central angle of the sectors whose measures are given below. `(π = 22/7)`

area = 462 cm², r = 21 cm

Find the central angle of the sectors whose measures are given below. `(π = 22/7)`

length of the arc = 44 m, r = 35 m

A circle of radius 120 m is divided into 8 equal sectors. Find the length of the arc of each of the sectors

A circle of radius 70 cm is divided into 5 equal sectors. Find the area of each of the sectors

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)

A circle is formed with 8 equal granite stones as shown in the figure each of radius 56 cm and whose central angle is 45°. Find the area of the granite stones. `(pi = 22/7)`

Find the perimeter and area of the figure given below. `(pi = 22/7)`

Find the perimeter and area of the figure given below. `(pi = 22/7)`

Find the area of the shaded part in the following figure. (π = 3.14)

Find the area of the shaded part in the following figure. (π = 3.14)

Find the area of the combined figure given which is got by joining of two parallelograms

Find the area of the combined figure given, formed by joining a semicircle of diameter 6 cm with a triangle of base 6 cm and height 9 cm. (π = 3.14)

The doormat which is in a hexagonal shape has the following measures as given in the figure. Find its area.

A rocket drawing has the measures as given in the figure. Find its area

Find the area of the irregular polygon shaped fields given below.

The three dimensions of a cuboid are ____, _____ and ____

The meeting point of more than two edges in a polyhedron is called as ______

A cube has __________ faces

The cross section of a solid cylinder is __________

If a net of a 3-D shape has six plane squares, then it is called ______

Match the following:

	Column A		Column B
(i)		(a)	Cylinder
(ii)		(b)	Cuboid
(iii)		(c)	Triangular Prism
(iv)		(d)	Square Pyramid

Which 3-D shapes do the following nets represent? Draw them

Which 3-D shapes do the following nets represent? Draw them

Which 3-D shapes do the following nets represent? Draw them

Which 3-D shapes do the following nets represent? Draw them

Which 3-D shapes do the following nets represent? Draw them

For each solid, three views are given. Identify for each solid, the corresponding Top, Front and Side (T, F and S) views.

Verify Euler’s formula for the table given below.

Verify Euler’s formula for the table given below.

Verify Euler’s formula for the table given below.

Verify Euler’s formula for the table given below.

Verify Euler’s formula for the table given below.

Two gates are fitted at the entrance of a library. To open the gates easily, a wheel is fixed at 6 feet distance from the wall to which the gate is fixed. If one of the gates is opened to 90°, find the distance moved by the wheel (π = 3.14)

With his usual speed, if a person covers a circular track of radius 150 m in 9 minutes, find the distance that he covers in 3 minutes (π = 3.14)

Find the area of the house drawing given in the figure

Draw the top, front and side view of the following solid shapes

Draw the top, front and side view of the following solid shapes

Guna has fixed a single door of width 3 feet in his room where as Nathan has fixed a double door, each of width `1 1/2` feet in his room. From the closed position, if each of the single and double doors can open up to 120°, whose door takes a minimum area?

In a rectangular field which measures 15 m × 8m, cows are tied with a rope of length 3 m at four corners of the field and also at the centre. Find the area of the field where none of the cow can graze. (π = 3.14)

Three identical coins, each of diameter 6 cm are placed as shown. Find the area of the shaded region between the coins. (π = 3.14) `(sqrt(3) = 1.732)`

Using Euler’s formula, find the unknowns.

Using Euler’s formula, find the unknowns.

Using Euler’s formula, find the unknowns.