Home › UP Board Class 10 › mathematics › Areas Related to Circles › A sector with central angle 90 degrees in a circ…
A sector with central angle 90 degrees in a circle of radius 14 cm has area
A49 sq cm
B77 sq cm
C154 sq cm
D38.5 sq cm
Answer & Solution
Correct answer: C. 154 sq cm
1. Area = (90/360) × (22/7) × 14 × 14.
2. = (1/4) × (22/7) × 196 = (1/4) × 616 = 154 sq cm.
3. Hence 154 sq cm.
_Source: NCERT Class 10 Mathematics, Ch 11 "Areas Related to Circles", §11.2_
Related questions
A chord 16 cm long is drawn in a circle of radius 10 cm. The distance of the chord from thA wheel of diameter 84 cm makes 75 revolutions. The distance covered isA square is circumscribed about a circle of radius 7 cm. The area enclosed between the cirTwo concentric circles have areas in the ratio 1 : 4. The ratio of their radii isA circular field of radius 56 m has a path of width 7 m running around it. The area of theThe diameter of a wheel is 70 cm. The number of revolutions to go 11 km isA wire bent into a circle of radius 42 cm is now bent into a regular hexagon. The side of A circle is inscribed in an equilateral triangle of side 12 cm. The area of the region bet