The circumference of the circle is 24 units.Alex is trying to determine the angle that will create a sector with an arc length of 9 units.Which of these expressions will give the correct angle?

Find the arc length of the sector with a radius 9 units for a semi-circle.3 marks

An arc of a circle subtends an angle 36° at a point on its circumference. What is the area (in cm2 ) of the sector if the arc of its length is 3∗𝜋5 𝑐𝑚?

A circle has a radius of 8cm. What is the length of an arc with a central angle of 80∘? 80180×𝜋×8cm 802𝜋×8cm 80360×𝜋×8cm

Q72. The angle subtended by an arc at the center of a circle is 135". The angle subtended by the same arc at any point on the remaining part of the circle is Ops: A 120 B. 30° C.90 D. 67.5

Solomon needs to justify the formula for the arc length of a sector. Which expression best completes this argument?The circumference of a circle is given by the formula , where d is the diameter.Because the diameter is twice the radius, .If equally sized central angles, each with a measure of , are drawn, the number of sectors that are formed will be equal to _____.The arc length of each sector is the circumference divided by the number of sectors, or .Therefore, the arc length of a sector of a circle with a central angle of is given by or .