NEW YORK (Reuters) - Singer-songwriter Carole King, whose rich tapestry of tunes has topped pop charts over five decades, is now weaving her life into a book. A Natural Woman, scheduled for publication next April, will chart Kings story from her beginnings in Brooklyn to her rise to the top of the US album charts through to her current role as environmental and political activist. Grand Central Publishing, an imprint of Hachette Book Group, said Tuesday it acquired world rights to Kings memoir from Joy Harris Literary Agency in an auction last week. Born Carol Klein to a Jewish family in New York City, King scored her first No. 1 hit as a songwriter in 1961, at age 18, with Will You Love Me Tomorrow, which she wrote with Gerry Goffin. King also wrote or co-wrote such hits as Up on the Roof, Youve Got a Friend and The Reason.