The radius and length of an arc of a sector are 21 cm and 44 cm .Find the area of sector
Answers
Answered by
3
first we need to find the angle(Q).
radius of sector=21cm
length of arc=44cm
we know,length of arc=2πrQ/360
44 =2×22/7×21×Q/360
44=44/7×21×Q/360
44×7/44=21×Q/360
7=21×Q/360
7/21=Q/360
1/3=Q/360
1/3×360=Q
120=Q
now,area of sector=πr^2Q/360
=22/7×(21)^2×120/360
=22/7×21×21×1/3
=22×7×3
=462cm^2
radius of sector=21cm
length of arc=44cm
we know,length of arc=2πrQ/360
44 =2×22/7×21×Q/360
44=44/7×21×Q/360
44×7/44=21×Q/360
7=21×Q/360
7/21=Q/360
1/3=Q/360
1/3×360=Q
120=Q
now,area of sector=πr^2Q/360
=22/7×(21)^2×120/360
=22/7×21×21×1/3
=22×7×3
=462cm^2
Answered by
0
The radius and length of an arc of a sector are 21 cm and 44 cm .Find the area of sector
refer the attachment
Attachments:
Similar questions