coordinate geometry: circles - Find the length of-arc if the perimeter of a sector is 45 cm and radius is 10 cm.

Krishna (last edited 4 years ago) (Expert, Educator @Qalaxia)

Step 1: Note down the given values

Step 2: Write the formula for the perimeter of the sector

Perimeter of sector = L + 2r

L = arc length and r = radius of the circle.

Step 3: Substitute the known values

45 = L + 2(10)

Step 4: Solve the equation for unknown value.

L = 25 cm