Question

The length of the arc of a sector of a circle is 17 cm and the area of the sector is 136 cm sq.
. Calculate theradius of the sector.​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The radius of the sector is 40 cm.

The radius of a sector can be found using the formula:

radius = (2 ×area of sector) / length of arc

In this case, the length of the arc is 17 cm and the area of the sector is 136 cm²

so we can calculate the radius as follows:

radius = (2 ˣ 136 cm²) / 17 cm = 40 cm

Therefore, the radius of the sector is 40 cm.

• length of the arc represents the extent of the sector, while the radius of the sector determines the size of the sector.

The area of a sector can be found using the formula:

• area of sector = (central angle / 360) π × radius²

• The central angle can be found using the length of the arc and the radius:

• central angle = (length of arc / radius) × 180 / π

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