A school choreographed a dance requires five and Figure 1 the exact same shape and size of the silk fan. The school has three existing silk fans that meet the requirements, the three silk fans will be

A school choreographed a dance requires five and Figure 1 the exact same shape and size of the silk fan. The school has three existing silk fans that meet the requirements, the three silk fans will be completely
The three silk fans are completely unfolded just to form a circle,

∴ the radius of the large circle can be obtained as 30cm (1 point);

It can be seen that the radius of the small circle is 12cm.

∴ S large circle = πr 2 =30 2 π=900π (2 points); S small circle = πr 2 =122 π=900π (2 points); S small circle = πr 2 =122 π=900π (2 points). Small circle = πr 2 =12 2 π=144π.(3 points)

∴S silk surface =S large circle -S small circle =900π-144π=756π.(4 points)

∴The area of silk cloth required for the two silk fans is:

2
3
×S silk surface = < table style="display:inline-table;vertical-align:middle" cellpadding="-1" cellspacing="-1">
2
3
× 756π = 504π (cm 2 ) (6 points)