Find the area of the sector if m∠ a =
π
10
and the circle has a radius of 20 inches.

Sector area = (central angle (radians) / 2) * radius^2
sector area = (PI / 20) * 400
sector area = PI * 20
or
sector area = 62.8318530718

Source:
http://www.1728.org/radians.htm

Sector area = (central angle (radians) / 2) * radius^2
sector area = (PI / 20) * 400
sector area = PI * 20
or
sector area = 62.8318530718

Source:
http://www.1728.org/radians.htm

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )