Question

NL and MK are diameters of circle J. Complete the statements about circle J. MP is a major arc/minor arc and measures __ degrees. MLN is a minor arc/major arc/semicircle and measures __ degrees.

Answer 1

Explanation:

It is given that NL and MK are the diameters of the circle J, then

From the figure, size of arc MP=MJN+NJP=62°+90°=152°.

The size of MLN=360°-62°=298°. Since, MLN has larger size, thus it is a major arc.

Also, MP is smaller than MLN then it is a minor arc. thus, MP is a minor arc and measures 152° and MLN has larger size and thus is a major arc and measures 298°.

Answer 2

Given that NL and MK are diameters of circle J. Then to evaluate the statements we proceed as follows:
a]
Size of arc MP is 62+90=152°, since MP is smaller than MLN then it is a minor arc. Hence the correct statement is:
MP is a minor arc and measures 152°,

b] Size of MLN is 360-62=298°, thus it is a major arc. Hence the correct statement is:
MLN is major arc and measures 298 degrees