Circles

Secants QM and RM intersect the circle at S and T as shown, a) IF RV=12,VS=4,and TV=8 find VQ. OK so i figured it follows this theorem : If 2 secant segments are drawn to a circle from the same external point, then the products of the length of each secant and the length of its external segment are equal.... So i mapped it out like this 16(4)=(x=8)8 64=8x =64 x= 8 Corrections? I think I did this wrong though B) If QM=16, SM=5, and TM=4 find RM... 16(5)=(x=4)4 80=4x +16 64=4x x=16

Triangles

In Triangle Rst, medians RM, SN, and TP are congruent at point E What is the point E called? - I think it;s the centroid If Re=24 find RM. 24 (2/3)= 16 Did I do this problem correctly? Im not sure if i multiply by 1/3 or 2/3... The second part follows.... Ab is a chord of circle Q and ab=16cm. Radius QC is perpendicular to AB at D and QC=10 cm. Find QD So when I mapped this out I thought Qd is 5 since Qc is 10. So i took half of that... Is this right or did i do something wrong ....I have a feeling this problem involes that phy. theorm but I am unsure

Word Angle Problem

Find the sum of the measures of the five acute angles that maup up this star...... OK so for this I noticed the 5 triangles that make up the star so i multiplied 180 x 5=900 Then to get the acute angles I did 180/5 and got 36... So the triangle measure would be 72 + 72 +36=180 Acute angles = 36....??? Second problem... If the area of square C is 64 units and the area of square d is 81 sq units, what are the areas of the other seven squares.... A 36 6^2 B 49 7 ^2 C 64 8^2 D 81 9^2 E 100 10^2 F121 11^2 G144 12^2 H 169 13^2 I 196 14^2 I found a parretn and just went with it...Did I do this correctly???

infinite geometric series

A square is inscribed in a circle of radius 100. The area of that circle which lies outside of the square is shaded. Another circle is inscribed in the square, and then a second square is inscribed in that second circle. The area of the second circle which lies outside of the second square is shaded. This process is continued to infinity. What is the sum of all of the shaded areas? How do I find this? First Area w/ following: Radius of circle - 100 Side of - __________ Area of - ______________ Area of ________________ Difference ______________ Second Area - ? Radius of circle - ? Side of - ? Area of - ? Area of - ? Difference - ? Third area - ? (as above) & Fourth area - ... click for more

Infinite Project

An equilateral triangle is inscribed in a circle of radius 100. The area of the circle which lies outside of the triangle is shaded. the process continues to infinity. What is the radius for the second area/ third area/ fourth area? side of first area/ side of second area/ side of third area/ side of fourth area? area of first area is ________, area of second area is _________, area of third area is ______________, area of fourth area is __________ Each new area is ___________of the prevous area. What is the sum of all of the shaded areas?