Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

What is the measure of ZBDC?What is the measure of arc length BC?

What Is The Measure Of ZBDCWhat Is The Measure Of Arc Length BC class=

Sagot :

SOLUTION

Step 1:

To find the measure of

Step 2:

The angle subtended by an arc at the centre is twice the angle subtended at the circumference. More simply, the angle at the centre is double the angle at the circumference.

Step 3:

Dividing both sides by 2, we have;

[tex]\begin{gathered} <\text{BDC = }\frac{BOC}{2}\text{ = }\frac{138}{2} \\ \\

Step 4:

We are to find the measure of arc length BC;

Angle BOC is given as 138

[tex]\begin{gathered} \frac{\theta}{360}\text{ x 2 }\pi\text{ r} \\ \\ \frac{138}{360}\text{ x 2 x 3.14 x r } \\ \\ 2.407r \end{gathered}[/tex]

Note: Since the value of the radius was not given so we need to express our answer in term of r.

The measure of arc length BC is 2.407r, where r is the radius.

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.