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CBSE - Class 9 Mathematics Coordinate Geometry Worksheet

1.
The circumference of a circle is $31.4$ cm. Find the radius and the area of the circle? (Take $\pi = 3.14$)
2.

If (x+2, 4)=(5, y-2), then coordinates (x, Y ) are

a.

6, 6

b.

3, 3

c.

6, 3

d.

3, 6

3.
Find the circumference of the circles with the following radius: (Take $\pi = \frac{22}{7}$) (a) $14$ cm
4.
Choose the correct option: Ordinate of a point is positive in ________.
a. I and II quadrants b. II and III quadrants c. I and IV quadrants d. III and IV quadrants
5.
A circle of radius $2$ cm is cut out from a square piece of an aluminium sheet of side $6$ cm. What is the area of the left over aluminium sheet? (Take $\pi = 3.14$)
6.
Which quadrant does the point (2, -3) lie in the cartesian coordinate?
a. First b. Second c. Third d. Fourth
7.

Vertices of quadrilateral with vertices (-4, 4), (-6, 0),  (-4, -4), (-2, 0) is plotted on the graph.What is the name of the type of quadrilateral and what is its area

a.

square ,  14sq.units

b.

Rhombus, 16 sq.units

c.

parallelogram , 16 sq.units

d.

recatangle, 16 sq.units

8.
Choose the correct option: The point at which the two coordinate axes meet is called the ________.
a. origin b. ordinate c. abscissa d. quadrant
9.
Find the circumference of the circles with the following radius: (Take $\pi = \frac{22}{7}$) (b) $28$ mm
10.
Find the area of the following circles, given that: (c) radius = $5$ cm
11.
Choose the correct option: The coordinates of a point whose ordinate is 5 and abscissa is -6 are _______.
a. (-6,5) b. (5,-6) c. (5,6) d. (-5,-6)
12.

A gardener wants to fence a circular garden of diameter $21$ m. Find the length of the rope he needs to purchase, if he makes $2$ rounds of fence. Also find the cost of the rope, if it costs ₹ $4$ per meter. (Take $\pi = \frac{22}{7}$)

13.
Choose the correct option: The points whose abscissa and ordinate have different signs will lie in _________.
a. I and II quadrants b. II and III quadrants c. II and IV quadrants d. IV and III quadrants
14.
Choose the correct option: Abscissa of a point is positive in _______.
a. I and II quadrants b. II and III quadrants c. I and IV quadrants d. III and IV quadrants
15.

Find the area of each of the following triangles:

(b)     

16.
Choose the correct option: Abscissa of all the points on the x-axis is ___________.
a. 0 b. 1 c. -1 d. Any number
17.
Find the circumference of the circles with the following radius: (Take $\pi = \frac{22}{7}$) (c) $21$ cm
18.
If the circumference of a circular sheet is $154$ m, find its radius. Also find the area of the sheet. (Take $\pi = \frac{22}{7}$)
19.
Choose the correct option: If x coordinate of a point is zero, then this point always lies on ___________.
a. X-axis b. Y-axis c. II quadrant d. III quadrant
20.

Find the area of each of the following triangles:

(a)     

Worksheet Answers

2.
Option D
4.
Option A
6.
Option D
7.
Option B
8.
Option A
11.
Option A
13.
Option C
14.
Option C
16.
Option D
19.
Option B

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