5. Area of a sector of a circle of radius 36 cm is 54π cm2. Find the length of the corresponding arc of the sector.
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3
Hi there!
Area of a sector = Length of an arc of a sector × Radius of the sector / 2
Area of a sector = 54 cm²
Radius of the sector = 36 cm
Area of a sector = Length of the corresponding arc × Radius of the arc / 2
54 = Length of the corresponding arc × 36 / 2
54 = Length of the corresponding arc × 18
Length of corresponding arc = 54/18
Hence,
Length of the corresponding arc of the sector = 3 cm
Cheers!
Area of a sector = Length of an arc of a sector × Radius of the sector / 2
Area of a sector = 54 cm²
Radius of the sector = 36 cm
Area of a sector = Length of the corresponding arc × Radius of the arc / 2
54 = Length of the corresponding arc × 36 / 2
54 = Length of the corresponding arc × 18
Length of corresponding arc = 54/18
Hence,
Length of the corresponding arc of the sector = 3 cm
Cheers!
Answered by
2
HEY FRIEND!!!
→Area of sector = 1/2*length of the corresponding arc*radius
→54*22/7 = 1/2* length of the corresponding arc*36
→54*22/7 = 18* length of the corresponding arc
→54*22/7*1/18 = length of the corresponding arc
→1188/126 = length of the corresponding arc
→ length of the corresponding arc = 9.42cm
HOPE IT HELPS.
REGARDS
★KHUSHI★
→Area of sector = 1/2*length of the corresponding arc*radius
→54*22/7 = 1/2* length of the corresponding arc*36
→54*22/7 = 18* length of the corresponding arc
→54*22/7*1/18 = length of the corresponding arc
→1188/126 = length of the corresponding arc
→ length of the corresponding arc = 9.42cm
HOPE IT HELPS.
REGARDS
★KHUSHI★
Anonymous:
can't understand
there is a formula of area of sector which is 1/2* length of the corresponding arc*radius and on putting the values I get this answer
Thnx for marking brainliest :)
your welcome
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