What is the measure of the central angle of a circle with a radius 20 cm that subtends an arc whose length is 35(pi) cm

The measure of the central angle is 315°  

Step-by-step explanation:

The formula of the length of an arc of a circle is L = × 2πr, where x is the central angle subtended by this arc and r is the radius of the circle

∵ The radius of the circle is 20 cm

∴ r = 20

∵ The length of the arc is 35π cm

∴ L = 35π

- Substitute the values of R and L in the formula above

∵ 35π = × 2π × 20

∴ 35π =   × 40π

∴ 35π =   π

- Divide both sides by π

∴ 35 =  

- Multiply both sides by 9

∴ 315 = x

∴ The measure of the central angle is 315°  

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x