Area

Omtex – classes “THE HOME OF TEXT”

NAME OF THE STUDENT ROLL NO SUBJECT

TOTAL MARKS 38 TIME 1HR 15MIN. GEOMETRY

1. In the figure, ∆ABC is an equilateral triangle of side 7 cm. Segment BC is a diameter of semicircle. Find the area of the shaded region. (√3 = 1.732) A

B

(3MARKS)

C A

B (4MARKS)

2. In the figure, ABCD is a rectangle in which DC = 4.2 cm, and AD = 7cm. Seg Dc is a diameter of the semicircle. Find the area of the shaded portion.

D C 3. A regular hexagon of side 6 cm is inscribed in a circle. Find the area of the region in the circle which is outside the hexagon. [ π = 3.14, √3 = 1.732] (4MARKS) 4. The radius of the circle is 3. 5 cm and area of the sector is 3. 85 cm2. Find the measure of the arc of the circle. (3 MARKS) 5. The diameter of a circle is 8. 4cm, Find the area of the sector and measure of the arc, if length of the arc is 2. 8π cm. (5 MARKS) 6. The measure of arc BCD of a circle having radius 7√2 cm and centre O is 450. Find the area of segment BCD. (3 MARKS) 7. In the figure, PQRS is a rectangle. SP = 100 cm and PQ = 70 cm. A semicircle is drawn with seg SR as a diameter. Find the following.: (5 MARKS) a. Area of a rectangle PQRS b. Area of a semicircle P S c. Area of a shaded region.

Q

8. In the figure, PR and QS are two diameters of the circle. If PR = 28cm and PS = 14√3 cm, find_ a. areas of triangle OPS b. The area of the shaded segments.

R

(5 MARKS) p

S 1200

Q

R

1 OMTEX – CLASSES “The home of text”

OMTEX – CLASSES “The home of text”