A circle has a secant AC and a tangent AD that intersect outside of the circle. If the measure of ZA is 29° and the measure of BD is 43°, then determine the measure of
CD.

CD = 101°

Step-by-step explanation:

The secant- tangent angle DAB is hlf the difference of the intercepted arcs, that is

(CD - BD ) = 29° ( multiply both sides by 2 )

CD - BD = 58°, that is

CD - 43° = 58° ( add 43° to both sides )

CD = 101°

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

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