Question

In the diagram below what is the approximate length of the minor arc AB

Answer 1

Answer:

B

Step-by-step explanation:

The length of the minor arc = circumference × fraction of circle

arc AB = 2π × 10 × $\frac{90}{360}$

           = 20π × $\frac{1}{4}$ = 5π ≈ 15.7 cm → B

Answer 2

Answer:

Minor arc AB length = 15.74 cm

Step-by-step explanation:

We know that, circumference of circle = 2πr

where r is the radius.

so the formula simply reduces this by the ratio of the arc angle to a full angle (360).

Given that arc angle is 90°.

So,  arc length is the one forth length of the whole circle.

Whole circle arc length (circumference) = 2πr

                                                                  = 2*3.14*10 = 62.83 cm

Now calculate the arc AB length  = $\frac{1}{4}$ circumference of circle.

Minor arc AB length = $\frac{62.83}{4}$

Minor arc AB length = 15.74 cm