Circumcentre and Centroid of Equilateral Triangle

Q. A paper is in the form of a rectangle ABCD in which AB = 20 cm and BC = 14 cm. A semi-circular portion with BC as the diameter is cut off. Find the area of the remaining part.$(Use\pi =\frac{22}{7})$.

1. $200c{m}^2$
2. $209c{m}^2$
3. $203c{m}^2$
4. $230c{m}^2$

Q.

Find the area of the shaded region in the given figure where circles are drawn with centres $A,B,C$ and $D$ intersected in pairs at mid-points $P,Q,R$ and $S$ of the sides $AB,BC,CD$ and $DA$ respectively of a square $ABCD$ of side $14cm$. (Use $\pi =\frac{22}{7})$.

1. $36c{m}^2$
2. $157.5c{m}^2$
3. $42c{m}^2$
4. $22c{m}^2$

Q.

Centroid is the point of intersection of the ___ of a triangle.

1. Perpendicular Bisectors

2. Angular Bisectors

3. Medians

4. Altitudes

Q. Intersection of the medians of a triangle is called ________.

1. incentre
2. circumcentre
3. orthocentre
4. centroid

Q. In the adjoining figure, the area of shaded portion is ________.

Q.

In figure, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region (in $c{m}^2$).

1. 100

2. 98

3. 96

4. 95

Q. In figure , BC is a diameter of the circle, AC = 6cm and AB = 8 cm. Find the area of the shaded region. (use $\pi =3.14$)

Q. In the given figure, O is the centre of a circle such that diameter AB = 17 cm and AC = 15 cm. BC is joined. Find the area of the unshaded part. $(Take\pi =3.14$

1. $166.86c{m}^2$
2. $787.92c{m}^2$
3. $823.96c{m}^2$
4. $847.92c{m}^2$

Q.

Given below is a combination figure of square ABCD of side 26cm and four circles. Find the area of the shaded region.

1. 402.83

2. 480.53

3. 360

4. 530.64

Q. If $15$ men can pack $540$ parcels per day, how many men are needed to pack $396$ parcels per day?

Q.

A box has length, breadth and height of 10 cm, 20 cm and 5 cm respectively. The lateral surface area of the box is ______.

1. 100 $c{m}^2$​
2. 200 $c{m}^2$​
3. 300 $c{m}^2$​
4. 400 $c{m}^2$​

Q. If the area of a circle is 44 sq. m, what is the area of its quadrant?

1. 22 sq. m
2. 66 sq. m
3. 88 sq.m
4. 11 sq. m