Can you answer this question also Q 22 In the given figure, a right △LNM and a - Maths - Lines and Angles

Question

Can you answer this question also ?
Q 22 In the given figure, a right △ LNM and a semicircle with
MN as the diameter have been shown What is the area of the given
figure?

Lovina Kansal · Accepted Answer

Dear student
By Pythagoras theorem in △LMNLM2=LN2+MN2⇒MN2=LM2-LN2⇒MN=LM2-LN2⇒MN=152-122⇒MN=225-144⇒MN=9cmSo, Area of triangle LMN=12×MN×LN⇒Area of triangle LMN=12×9×12⇒Area of triangle LMN=54cm2Radius of semicircle,r=MN2=92So, area of semicircle=πr22⇒area of semicircle=12×227×92×92⇒area of semicircle=178256⇒area of semicircle=31
82cm2Area of given figure=Area of triangle LMN+area of semicircle⇒Area of given figure=54+31
82⇒Area of given figure=85 82cm2
Regards

Can you answer this question also ? Q.22. In the given figure, a right △ LNM and a semicircle with MN as the diameter have been shown. What is the area of the given figure?

Can you answer this question also ?
Q.22. In the given figure, a right $△$ LNM and a semicircle with MN as the diameter have been shown. What is the area of the given figure?