In a circle of radius 7 cm, an arc subtends an angle of \( \Large 108 ^{\circ} \) at the centre. The area of the sector is


A) \( \Large 43.2\ cm^{2} \)

B) \( \Large 44.2\ cm^{2} \)

C) \( \Large 45.2\ cm^{2} \)

D) \( \Large 46.2\ cm^{2} \)

Correct Answer:
D) \( \Large 46.2\ cm^{2} \)

Description for Correct answer:

Area of setor = \( \Large \frac{\theta}{360} \times \pi r^{2} \)

= \( \Large \frac{108}{360} \times \frac{22}{7} \times 49 \ cm^{2}\)

= \( \Large 46.2\ cm^{2} \)


Part of solved Loci and concurrency questions and answers : >> Elementary Mathematics >> Loci and concurrency








Comments

No comments available




Similar Questions
1). Area of the shaded portion in the given figure, where the arcs are quadrants of a circle, is
A). \( \Large 42\ m^{2} \)
B). \( \Large 56\ m^{2} \)
C). \( \Large 64\ m^{2} \)
D). \( \Large 144\ m^{2} \)
-- View Answer
2). In the given figure, PQ is tangent at A; BC is the diameter. If \( \Large \angle ABC = 42 ^{\circ}.\ then\ \angle PAB \) is equal to
A). \( \Large 21 ^{\circ} \)
B). \( \Large 42 ^{\circ} \)
C). \( \Large 48 ^{\circ} \)
D). \( \Large 84 ^{\circ} \)
-- View Answer
3). If length of the tangent from origin to the circle \( \Large x^{2}+y^{2}-26x+K=0\ is\ 5 \), then K is equal to
A). \( \Large \sqrt{5} \)
B). 5
C). 10
D). 25
-- View Answer
4). If area of the given circle is \( \Large 100 \pi \) square cm, then side of the square inscribed in the circle is
A). 10 cm
B). \( \Large 10\sqrt{2}\ cm \)
C). 20 cm
D). \( \Large 20\sqrt{2}\ cm \)
-- View Answer
5). The middle points of all chords (each having the same length) of a circle lie on a
A). rectangle
B). square
C). circle
D). parallelogram
-- View Answer


6). Area of the shaded portion in the given figure is \( \Large \left(x = \frac{22}{7}\right) \)
A). 42 sq. cm
B). 48 sq. cm
C). 76 sq. cm
D). 152 sq. cm
-- View Answer
7). A circle A has a radius of 3 cm, two circles B and C have a radius each equal to diameter of the circle A. The radius of a circle D which has an area equal to the total area of A, B and C, is
A). 9 cm
B). 12 cm
C). 15 cm
D). 18 cm
-- View Answer
8). If straight line \( \Large y = x+c \) is a tangent to the circle \( \Large x^{2}+y^{2}=1 \), then c is equal to
A). \( \Large \pm \sqrt{2} \)
B). \( \Large \pm 2 \)
C). \( \Large \pm 1 \)
D). \( \Large \pm 3 \)
-- View Answer
9). The equation, \( \Large ax^{2}+2hxy+b^{2}+2gx+2fy+c=0 \) represents a circle if
A). \( \Large h^{2} = ab \)
B). \( \Large a = b \)
C). \( \Large h^{2}+ab = 0 \)
D). \( \Large a = b\ and\ h = 0 \)
-- View Answer
10). Consider following statements relating to the chords and arcs of a circle :
1. Equal chords are equidistant from the centre.
2. Between two arcs, the one that subtends a larger angle at the centre is larger.
3. If two arcs are of the same length, so are the chords joining their extremities.
Of these statements :
A). 1 and 2 are correct
B). 2 and 3 are correct
C). 1 and 3 are correct
D). 1, 2 and 3 are correct
-- View Answer