The length of minute hand of a clock is 14 cm. If the minute hand moves from 2 to 11 on the circular dial, then area covered by it is ...... cm ².select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 154
(b) 308
(c) 462
(d) 616
Answers
Answered by
9
When minute hand moves from2 to 11 it covers 3/4 of a circle
Area of circle = pi radius square
Area of 3/4 circle = 3/4× pi × radius square
= 3/4×22/7 × 14×14
= 462cm square
the correct answer is c.
Area of circle = pi radius square
Area of 3/4 circle = 3/4× pi × radius square
= 3/4×22/7 × 14×14
= 462cm square
the correct answer is c.
Answered by
7
Solution :
radius of the sector ( r ) = length of the
minutes hand
r = 14 cm
sector angle ( x ) = distance covered
by minutes hand from 2 to 11 on dial
x = 45 minutes × 6°
=> x = 270°
Sector area ( A ) = ( x/360) × πr²
= ( 270/360 ) × ( 22/7 ) × 14²
= 462 cm²
Therefore ,
Option ( c ) is correct.
••••
radius of the sector ( r ) = length of the
minutes hand
r = 14 cm
sector angle ( x ) = distance covered
by minutes hand from 2 to 11 on dial
x = 45 minutes × 6°
=> x = 270°
Sector area ( A ) = ( x/360) × πr²
= ( 270/360 ) × ( 22/7 ) × 14²
= 462 cm²
Therefore ,
Option ( c ) is correct.
••••
Attachments:
Similar questions