Question

Several cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height. Tyler bought a wedge. He measured the arc length of the wedge to be 12 cm and the radius to be 8 cm. Priya bought a wedge that came from a circular cheese block with radius 9 cm. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.

Answer 1

Tyler's wedge is larger

The arc length of Priya's wedge is only 9.42, and Tyler's is 12

Answer 2

Tayler's wedge is larger.

What is arc length?

"Arc length is the distance along the part of the circumference of any circle."

Formula to calculate the circumference of a circle:

S = 2 × π × r

where, r is the radius of the radius of a circle

In this question,

Tyler bought a wedge shaped cheese with arc length 12 cm and radius 8 cm.

Priya bought a wedge that came from a circular cheese block with radius 9 cm and the block was cut into 6 congruent sectors.

The circumference of circular cheese block with radius 9 cm would be,

⇒ s = 2 × π × 9

⇒ s = 18π cm

Since, the block was cut into 6 congruent sectors.

The arc length of each block would be, 18π / 6 = 3π cm

That is, 9.43 cm

Since 12 > 9.43, Tayler's wedge is larger.

Learn more about arc length here:

https://brainly.com/question/23856381

#SPJ2